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123212131030131 = 311132441423127809
BaseRepresentation
bin11100000000111110001111…
…010011010101010001110011
3121011020222001021000011210020
4130000332033103111101303
5112122201421020431011
61114014512132334523
734644532316353113
oct3400761723252163
9534228037004706
10123212131030131
1136293a75918620
121199b405474443
135399b145c9b80
14225d6db213043
15e3a06c323006
hex700f8f4d5473

123212131030131 has 64 divisors (see below), whose sum is σ = 193135265326080. Its totient is φ = 68882863104000.

The previous prime is 123212131030123. The next prime is 123212131030139. The reversal of 123212131030131 is 131030131212321.

It is an interprime number because it is at equal distance from previous prime (123212131030123) and next prime (123212131030139).

It is not a de Polignac number, because 123212131030131 - 23 = 123212131030123 is a prime.

It is a super-2 number, since 2×1232121310301312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123212131030139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4430642755 + ... + 4430670563.

It is an arithmetic number, because the mean of its divisors is an integer number (3017738520720).

Almost surely, 2123212131030131 is an apocalyptic number.

123212131030131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123212131030131 is a deficient number, since it is larger than the sum of its proper divisors (69923134295949).

123212131030131 is a wasteful number, since it uses less digits than its factorization.

123212131030131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34508.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123212131030131 its reverse (131030131212321), we get a palindrome (254242262242452).

The spelling of 123212131030131 in words is "one hundred twenty-three trillion, two hundred twelve billion, one hundred thirty-one million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 2441 4231 7323 12693 26851 27809 31733 46541 55003 80553 83427 95199 139623 165009 305899 349063 361517 605033 917697 1047189 1084551 1815099 3976687 10327871 11930061 30983613 67881769 113606581 117659879 134262323 203645307 340819743 352979637 402786969 746699459 882462997 1294258669 1476885553 1529578427 2240098377 2647388991 3882776007 4430656659 4588735281 9707092967 16825362697 29121278901 50476088091 287207764639 861623293917 3159285411029 3733700940307 9477856233087 11201102820921 41070710343377 123212131030131