Search a number
-
+
100020257520020 = 22517951283544793
BaseRepresentation
bin10110101111011111000111…
…111010110111100110010100
3111010010211202201102011120222
4112233133013322313212110
5101102212441411120040
6552420401051413512
730032140136211335
oct2657370772674624
9433124681364528
10100020257520020
1129962397935862
12b274719a54298
1343a6b3cc97096
141a9b0133b028c
15b86b52e57bb5
hex5af7c7eb7994

100020257520020 has 48 divisors (see below), whose sum is σ = 211220469149760. Its totient is φ = 39783745241856.

The previous prime is 100020257520011. The next prime is 100020257520049. The reversal of 100020257520020 is 20025752020001.

It is a super-2 number, since 2×1000202575200202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183320744 + ... + 183865536.

It is an arithmetic number, because the mean of its divisors is an integer number (4400426440620).

Almost surely, 2100020257520020 is an apocalyptic number.

100020257520020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020257520020 is an abundant number, since it is smaller than the sum of its proper divisors (111200211629740).

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

100020257520020 is a wasteful number, since it uses less digits than its factorization.

100020257520020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596264 (or 596262 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The spelling of 100020257520020 in words is "one hundred trillion, twenty billion, two hundred fifty-seven million, five hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1790 3580 51283 102566 205132 256415 512830 544793 1025660 1089586 2179172 2723965 5447930 9179657 10895860 18359314 36718628 45898285 91796570 97517947 183593140 195035894 390071788 487589735 975179470 1950358940 27938619419 55877238838 111754477676 139693097095 279386194190 558772388380 5001012876001 10002025752002 20004051504004 25005064380005 50010128760010 100020257520020