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123233113013130 = 23256053226211269
BaseRepresentation
bin11100000001010001110001…
…111011001111101110001010
3121011022222012112022100110200
4130001101301323033232022
5112123022403412410010
61114032302141153030
734646204264311161
oct3401216173175612
9534288175270420
10123233113013130
11362a1962684a3a
12119a34a025b776
13539baa9574023
14226072bab63d8
15e3a8993b1cc0
hex701471ecfb8a

123233113013130 has 48 divisors (see below), whose sum is σ = 320459028687720. Its totient is φ = 32856734254464.

The previous prime is 123233113013117. The next prime is 123233113013167. The reversal of 123233113013130 is 31310311332321.

123233113013130 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 311 + 30 + 1 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34446346548201 + 88786766464929 = 5869101^2 + 9422673^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123233113013094 and 123233113013103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112560865 + ... + 113650404.

Almost surely, 2123233113013130 is an apocalyptic number.

123233113013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123233113013130 is an abundant number, since it is smaller than the sum of its proper divisors (197225915674590).

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

123233113013130 is a wasteful number, since it uses less digits than its factorization.

123233113013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226217335 (or 226217332 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 123233113013130 its reverse (31310311332321), we get a palindrome (154543424345451).

The spelling of 123233113013130 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, one hundred thirteen million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6053 12106 18159 30265 36318 54477 60530 90795 108954 181590 272385 544770 226211269 452422538 678633807 1131056345 1357267614 2035901421 2262112690 3393169035 4071802842 6786338070 10179507105 20359014210 1369256811257 2738513622514 4107770433771 6846284056285 8215540867542 12323311301313 13692568112570 20538852168855 24646622602626 41077704337710 61616556506565 123233113013130