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100201011022197 = 32257281499308951
BaseRepresentation
bin10110110010000111011101…
…101010110000100101110101
3111010210010022202000110111200
4112302013131222300211311
5101113143132310202242
6553035413050323113
730051166314504651
oct2662073552604565
9433703282013450
10100201011022197
1129a2201253a308
12b2a3763a29499
1343babb7a611b7
141aa5a7d2ada61
15b8b6d18a104c
hex5b21ddab0975

100201011022197 has 48 divisors (see below), whose sum is σ = 146107726128000. Its totient is φ = 66170861568000.

The previous prime is 100201011022159. The next prime is 100201011022219. The reversal of 100201011022197 is 791220110102001.

It is not a de Polignac number, because 100201011022197 - 28 = 100201011021941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100201011022197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201011022117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324172072 + ... + 324481022.

It is an arithmetic number, because the mean of its divisors is an integer number (3043910961000).

Almost surely, 2100201011022197 is an apocalyptic number.

It is an amenable number.

100201011022197 is a deficient number, since it is larger than the sum of its proper divisors (45906715105803).

100201011022197 is a wasteful number, since it uses less digits than its factorization.

100201011022197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309994 (or 309991 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 100201011022197 its reverse (791220110102001), we get a palindrome (891421121124198).

The spelling of 100201011022197 in words is "one hundred trillion, two hundred one billion, eleven million, twenty-two thousand, one hundred ninety-seven".

Divisors: 1 3 9 257 281 499 771 843 1497 2313 2529 4491 72217 128243 140219 216651 308951 384729 420657 649953 926853 1154187 1261971 2780559 36036283 79400407 86815231 108108849 154166549 238201221 260445693 324326547 462499647 714603663 781337079 1387498941 22311514367 39620803093 43320800269 66934543101 118862409279 129962400807 200803629303 356587227837 389887202421 11133445669133 33400337007399 100201011022197