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123130531404 = 22331936439187
BaseRepresentation
bin111001010101100100…
…1101100111001001100
3102202211011211002021000
41302223021230321030
54004132404001104
6132322042340300
711616201151056
oct1625311547114
9382734732230
10123130531404
1148245a7a761
121ba441ba690
13b7c394220a
145d6100a8d6
153309c30639
hex1cab26ce4c

123130531404 has 96 divisors (see below), whose sum is σ = 321415351040. Its totient is φ = 40762911744.

The previous prime is 123130531393. The next prime is 123130531409. The reversal of 123130531404 is 404135031321.

It is a happy number.

123130531404 is a `hidden beast` number, since 12 + 31 + 305 + 314 + 0 + 4 = 666.

It is a super-2 number, since 2×1231305314042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123130531409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13398099 + ... + 13407285.

Almost surely, 2123130531404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130531404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707675520).

123130531404 is an abundant number, since it is smaller than the sum of its proper divisors (198284819636).

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

123130531404 is a wasteful number, since it uses less digits than its factorization.

123130531404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123130531404 its reverse (404135031321), we get a palindrome (527265562725).

The spelling of 123130531404 in words is "one hundred twenty-three billion, one hundred thirty million, five hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 643 772 1158 1286 1737 1929 2316 2572 3474 3858 5211 5787 6948 7716 9187 10422 11574 17361 18374 20844 23148 27561 34722 36748 55122 69444 82683 110244 124099 165366 248049 248198 330732 372297 496098 496396 744594 992196 1116891 1489188 1773091 2233782 3350673 3546182 4467564 5319273 5907241 6701346 7092364 10638546 11814482 13402692 15957819 17721723 21277092 23628964 31915638 35443446 47873457 53165169 63831276 70886892 95746914 106330338 159495507 191493828 212660676 318991014 637982028 1140097513 2280195026 3420292539 4560390052 6840585078 10260877617 13681170156 20521755234 30782632851 41043510468 61565265702 123130531404