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107421077181 = 311172534612
BaseRepresentation
bin110010000001011001…
…0111000111010111101
3101021021100201010100010
41210002302320322331
53224444243432211
6121203142253433
710521665043015
oct1440262707275
9337240633303
10107421077181
1141614441240
121899b127279
13a18c126782
1452b08aac45
152bda9cc4a6
hex1902cb8ebd

107421077181 has 72 divisors (see below), whose sum is σ = 169479944352. Its totient is φ = 59987532800.

The previous prime is 107421077173. The next prime is 107421077189. The reversal of 107421077181 is 181770124701.

It is an interprime number because it is at equal distance from previous prime (107421077173) and next prime (107421077189).

It is not a de Polignac number, because 107421077181 - 23 = 107421077173 is a prime.

It is a super-2 number, since 2×1074210771812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107421077189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233017291 + ... + 233017751.

It is an arithmetic number, because the mean of its divisors is an integer number (2353888116).

Almost surely, 2107421077181 is an apocalyptic number.

107421077181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107421077181 is a deficient number, since it is larger than the sum of its proper divisors (62058867171).

107421077181 is an equidigital number, since it uses as much as digits as its factorization.

107421077181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 39.

The spelling of 107421077181 in words is "one hundred seven billion, four hundred twenty-one million, seventy-seven thousand, one hundred eighty-one".

Divisors: 1 3 11 17 33 51 53 159 187 289 461 561 583 867 901 1383 1749 2703 3179 5071 7837 9537 9911 15213 15317 23511 24433 29733 45951 73299 86207 133229 168487 212521 258621 268763 399687 415361 505461 637563 806289 1246083 1465519 2337731 3612857 4396557 4568971 7013193 7061137 10838571 11263613 13706913 21183411 33790839 39741427 61418569 77672507 119224281 123899743 184255707 191481421 233017521 371699229 574444263 675604259 2026812777 2106295631 3255184157 6318886893 9765552471 35807025727 107421077181