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123313443524052 = 223198361991051177
BaseRepresentation
bin11100000010011100100101…
…111111110100110111010100
3121011121122112220100010012220
4130002130211333310313110
5112130331413020232202
61114133225222542340
734655050041346365
oct3402344577646724
9534548486303186
10123313443524052
1136322a35104841
12119b6b7a8979b0
1353a653bcca322
14226458c6c7b6c
15e3c9eb8b9abc
hex702725ff4dd4

123313443524052 has 96 divisors (see below), whose sum is σ = 306573961344000. Its totient is φ = 38465674958592.

The previous prime is 123313443523999. The next prime is 123313443524059. The reversal of 123313443524052 is 250425344313321.

It is a junction number, because it is equal to n+sod(n) for n = 123313443523995 and 123313443524013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313443524059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116784288 + ... + 117835464.

It is an arithmetic number, because the mean of its divisors is an integer number (3193478764000).

Almost surely, 2123313443524052 is an apocalyptic number.

123313443524052 is a gapful number since it is divisible by the number (12) 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 123313443524052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153286980672000).

123313443524052 is an abundant number, since it is smaller than the sum of its proper divisors (183260517819948).

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

123313443524052 is a wasteful number, since it uses less digits than its factorization.

123313443524052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057485 (or 1057483 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 123313443524052 its reverse (250425344313321), we get a palindrome (373738787837373).

The spelling of 123313443524052 in words is "one hundred twenty-three trillion, three hundred thirteen billion, four hundred forty-three million, five hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6199 6308 9462 12398 18597 18924 24796 37194 74388 117781 235562 353343 471124 514517 706686 1029034 1051177 1413372 1543551 2058068 2102354 3087102 3153531 4204708 6174204 6307062 9775823 12614124 19551646 19972363 29327469 39103292 39944726 58654938 59917089 79889452 87247691 117309876 119834178 174495382 239668356 261743073 348990764 523486146 1046972292 1657706129 3315412258 4973118387 6516246223 6630824516 9946236774 13032492446 19548738669 19892473548 26064984892 39097477338 78194954676 123808678237 247617356474 371426034711 495234712948 540848436509 742852069422 1081696873018 1485704138844 1622545309527 2163393746036 3245090619054 6490181238108 10276120293671 20552240587342 30828360881013 41104481174684 61656721762026 123313443524052