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123103012131 = 321141113311863
BaseRepresentation
bin111001010100110000…
…0101110010100100011
3102202202021000221220200
41302221200232110203
54004103332342011
6132315220440243
711615415224001
oct1625140562443
9382667027820
10123103012131
1148231494060
121ba36b49083
13b7bb028418
145d5b4c5a71
1533075e6856
hex1ca982e523

123103012131 has 96 divisors (see below), whose sum is σ = 201347887104. Its totient is φ = 71828736000.

The previous prime is 123103012051. The next prime is 123103012163. The reversal of 123103012131 is 131210301321.

123103012131 is a `hidden beast` number, since 1 + 2 + 310 + 301 + 21 + 31 = 666.

It is not a de Polignac number, because 123103012131 - 217 = 123102881059 is a prime.

It is a super-2 number, since 2×1231030121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123103012531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142645006 + ... + 142645868.

It is an arithmetic number, because the mean of its divisors is an integer number (2097373824).

Almost surely, 2123103012131 is an apocalyptic number.

123103012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123103012131 is a deficient number, since it is larger than the sum of its proper divisors (78244874973).

123103012131 is a wasteful number, since it uses less digits than its factorization.

123103012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123103012131 its reverse (131210301321), we get a palindrome (254313313452).

The spelling of 123103012131 in words is "one hundred twenty-three billion, one hundred three million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 41 99 113 123 311 339 369 451 863 933 1017 1243 1353 2589 2799 3421 3729 4059 4633 7767 9493 10263 11187 12751 13899 28479 30789 35143 35383 38253 41697 50963 85437 97519 105429 106149 114759 140261 152889 268393 292557 316287 318447 386573 389213 420783 458667 805179 877671 1072709 1159719 1167639 1262349 1440863 2415537 2952323 3218127 3479157 3502917 3998279 4322589 8856969 9654381 11004113 11994837 12967767 15849493 26570907 30328409 33012339 35984511 43981069 47548479 90985227 99037017 121045243 131943207 142645437 272955681 333612499 363135729 395829621 1000837497 1089407187 1243464769 3002512491 3730394307 11191182921 13678112459 41034337377 123103012131