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20020120031232 = 212322593209441
BaseRepresentation
bin1001000110101010011000…
…01001001001000000000000
32121212220102120211222210200
410203111030021021000000
510111002201211444412
6110325041032125200
74134256144330026
oct443251411110000
977786376758720
1020020120031232
11641953791a322
1222b4049836800
13b22b737c6869
144d2d9c46a716
1524ab814119dc
hex12354c249000

20020120031232 has 156 divisors (see below), whose sum is σ = 57851420388684. Its totient is φ = 6670767882240.

The previous prime is 20020120031207. The next prime is 20020120031237. The reversal of 20020120031232 is 23213002102002.

20020120031232 is a `hidden beast` number, since 2 + 0 + 0 + 201 + 200 + 31 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9129486422016 + 10890633609216 = 3021504^2 + 3300096^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20020120031237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95483632 + ... + 95693072.

It is an arithmetic number, because the mean of its divisors is an integer number (370842438389).

Almost surely, 220020120031232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020120031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925710194342).

20020120031232 is an abundant number, since it is smaller than the sum of its proper divisors (37831300357452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20020120031232 is a wasteful number, since it uses less digits than its factorization.

20020120031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212064 (or 212039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20020120031232 its reverse (23213002102002), we get a palindrome (43233122133234).

The spelling of 20020120031232 in words is "twenty trillion, twenty billion, one hundred twenty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2593 3072 4096 4608 5186 6144 7779 9216 10372 12288 15558 18432 20744 23337 31116 36864 41488 46674 62232 82976 93348 124464 165952 186696 209441 248928 331904 373392 418882 497856 628323 663808 746784 837764 995712 1256646 1327616 1493568 1675528 1884969 1991424 2513292 2655232 2987136 3351056 3769938 3982848 5026584 5310464 5974272 6702112 7539876 7965696 10053168 10620928 11948544 13404224 15079752 15931392 20106336 23897088 26808448 30159504 31862784 40212672 47794176 53616896 60319008 80425344 95588352 107233792 120638016 160850688 214467584 241276032 321701376 428935168 482552064 543080513 643402752 857870336 965104128 1086161026 1286805504 1629241539 1930208256 2172322052 2573611008 3258483078 3860416512 4344644104 4887724617 6516966156 7720833024 8689288208 9775449234 13033932312 17378576416 19550898468 26067864624 34757152832 39101796936 52135729248 69514305664 78203593872 104271458496 139028611328 156407187744 208542916992 278057222656 312814375488 417085833984 556114445312 625628750976 834171667968 1112228890624 1251257501952 1668343335936 2224457781248 2502515003904 3336686671872 5005030007808 6673373343744 10010060015616 20020120031232