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20031315355520 = 275710614214209
BaseRepresentation
bin1001000110111111001110…
…11011111010011110000000
32121220222022210211101120222
410203133213123322132000
510111143113212334040
6110334131554522212
74135133445114320
oct443374733723600
977828283741528
1020031315355520
116423262337147
1222b6252b96368
13b23c3902c1c1
144d3741263280
1524b0d91d4bb5
hex1237e76fa780

20031315355520 has 128 divisors (see below), whose sum is σ = 54780010084800. Its totient is φ = 6861404897280.

The previous prime is 20031315355483. The next prime is 20031315355529. The reversal of 20031315355520 is 2555351313002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031315355529) 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, 2646176 + ... + 6860384.

Almost surely, 220031315355520 is an apocalyptic number.

20031315355520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031315355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27390005042400).

20031315355520 is an abundant number, since it is smaller than the sum of its proper divisors (34748694729280).

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

20031315355520 is a wasteful number, since it uses less digits than its factorization.

20031315355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215296 (or 4215284 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 20031315355520 its reverse (2555351313002), we get a palindrome (22586666668522).

The spelling of 20031315355520 in words is "twenty trillion, thirty-one billion, three hundred fifteen million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1061 1120 2122 2240 4244 4480 5305 7427 8488 10610 14854 16976 21220 29708 33952 37135 42440 59416 67904 74270 84880 118832 135808 148540 169760 237664 297080 339520 475328 594160 679040 950656 1188320 2376640 4214209 4753280 8428418 16856836 21071045 29499463 33713672 42142090 58998926 67427344 84284180 117997852 134854688 147497315 168568360 235995704 269709376 294994630 337136720 471991408 539418752 589989260 674273440 943982816 1179978520 1348546880 1887965632 2359957040 2697093760 3775931264 4471275749 4719914080 8942551498 9439828160 17885102996 18879656320 22356378745 31298930243 35770205992 44712757490 62597860486 71540411984 89425514980 125195720972 143080823968 156494651215 178851029960 250391441944 286161647936 312989302430 357702059920 500782883888 572323295872 625978604860 715404119840 1001565767776 1251957209720 1430808239680 2003131535552 2503914419440 2861616479360 4006263071104 5007828838880 10015657677760 20031315355520