Search a number
-
+
123130132331004 = 223252336431795151
BaseRepresentation
bin11011111111110001110111…
…110011000111100111111100
3121010222010101121222200000200
4123333301313303013213330
5112114331002334043004
61113513111335523500
734635600315045261
oct3377616763074774
9533863347880020
10123130132331004
1136262217783287
1211987540229590
135392177384b66
14225975cc3b268
15e37d6d64c239
hex6ffc77cc79fc

123130132331004 has 72 divisors (see below), whose sum is σ = 311926501915392. Its totient is φ = 40953632983200.

The previous prime is 123130132330981. The next prime is 123130132331009. The reversal of 123130132331004 is 400133231031321.

123130132331004 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 301 + 323 + 31 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1231301323310042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130132331009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67692829 + ... + 69487979.

Almost surely, 2123130132331004 is an apocalyptic number.

It is an amenable number.

123130132331004 is an abundant number, since it is smaller than the sum of its proper divisors (188796369584388).

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

123130132331004 is a wasteful number, since it uses less digits than its factorization.

123130132331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799327 (or 1799322 counting only the distinct ones).

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

Adding to 123130132331004 its reverse (400133231031321), we get a palindrome (523263363362325).

The spelling of 123130132331004 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-two million, three hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3138 3643 4707 6276 7286 9414 10929 14572 18828 21858 32787 43716 65574 131148 1795151 1905289 3590302 3810578 5385453 5715867 7180604 7621156 10770906 11431734 16156359 17147601 21541812 22863468 32312718 34295202 64625436 68590404 938863973 1877727946 2816591919 3755455892 5633183838 6539735093 8449775757 11266367676 13079470186 16899551514 19619205279 26158940372 33799103028 39238410558 58857615837 78476821116 117715231674 235430463348 3420281453639 6840562907278 10260844360917 13681125814556 20521688721834 30782533082751 41043377443668 61565066165502 123130132331004