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20021105312 = 2513535915391
BaseRepresentation
bin10010101001010110…
…011101001010100000
31220200022020112021222
4102221112131022200
5312000400332222
613110401434212
71306066405265
oct225126351240
956608215258
1020021105312
11854443482a
123a6903b968
131b70b871a0
14d7d01b26c
157c2a39542
hex4a959d2a0

20021105312 has 96 divisors (see below), whose sum is σ = 43985410560. Its totient is φ = 8911918080.

The previous prime is 20021105311. The next prime is 20021105323. The reversal of 20021105312 is 21350112002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20021105311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293137 + ... + 1308527.

It is an arithmetic number, because the mean of its divisors is an integer number (458181360).

Almost surely, 220021105312 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 20021105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992705280).

20021105312 is an abundant number, since it is smaller than the sum of its proper divisors (23964305248).

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

20021105312 is a wasteful number, since it uses less digits than its factorization.

20021105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15526 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 20021105312 its reverse (21350112002), we get a palindrome (41371217314).

The spelling of 20021105312 in words is "twenty billion, twenty-one million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 59 104 106 118 208 212 236 416 424 472 689 767 848 944 1378 1534 1696 1888 2756 3068 3127 5512 6136 6254 11024 12272 12508 15391 22048 24544 25016 30782 40651 50032 61564 81302 100064 123128 162604 200083 246256 325208 400166 492512 650416 800332 815723 908069 1300832 1600664 1631446 1816138 3201328 3262892 3632276 6402656 6525784 7264552 10604399 11804897 13051568 14529104 21208798 23609794 26103136 29058208 42417596 47219588 48127657 84835192 94439176 96255314 169670384 188878352 192510628 339340768 377756704 385021256 625659541 770042512 1251319082 1540085024 2502638164 5005276328 10010552656 20021105312