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121031322023313 = 33132671588724919
BaseRepresentation
bin11011100001001111001100…
…111101001011010110010001
3120212112110222221010002212000
4123201033030331023112101
5111330434121414221223
61105225004411024213
734331136662556342
oct3341171475132621
9525473887102760
10121031322023313
1135623106002889
12116a8820a3b069
13526c287936900
1421c5d393360c9
15ded480ad6543
hex6e13ccf4b591

121031322023313 has 96 divisors (see below), whose sum is σ = 197077599129600. Its totient is φ = 73361597310144.

The previous prime is 121031322023219. The next prime is 121031322023351. The reversal of 121031322023313 is 313320223130121.

121031322023313 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 1 + 322 + 0 + 2 + 331 + 3 = 666.

It is not a de Polignac number, because 121031322023313 - 221 = 121031319926161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121031822023313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4856977068 + ... + 4857001986.

It is an arithmetic number, because the mean of its divisors is an integer number (2052891657600).

Almost surely, 2121031322023313 is an apocalyptic number.

121031322023313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121031322023313 is a deficient number, since it is larger than the sum of its proper divisors (76046277106287).

121031322023313 is a wasteful number, since it uses less digits than its factorization.

121031322023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40908 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121031322023313 its reverse (313320223130121), we get a palindrome (434351545153434).

The spelling of 121031322023313 in words is "one hundred twenty-one trillion, thirty-one billion, three hundred twenty-two million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 67 117 169 201 351 507 603 871 1521 1809 2613 4563 7839 11323 15887 23517 24919 33969 47661 74757 101907 142983 206531 224271 305721 323947 428949 619593 672813 971841 1064429 1669573 1858779 2684903 2915523 3193287 4211311 5008719 5576337 8054709 8746569 9579861 12633933 13837577 15026157 21704449 24164127 28739583 37901799 41512731 45078471 65113347 72492381 113705397 124538193 179888501 195340041 282157837 373614579 395888153 539665503 586020123 846473511 1187664459 1618996509 2539420533 3562993377 4856989527 5146545989 7618261599 10688980131 15439637967 26524506251 46318913901 66905097857 79573518753 138956741703 200715293571 238720556259 344818581263 602145880713 716161668777 1034455743789 1806437642139 3103367231367 4482641556419 9310101694101 13447924669257 40343774007771 121031322023313