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123230210232 = 233173112776717
BaseRepresentation
bin111001011000100010…
…1111100100010111000
3102210002010101021220110
41302301011330202320
54004333413211412
6132340003024320
711621521334643
oct1626105744270
9383063337813
10123230210232
1148297271958
121ba7166b0a0
13b80b4a277c
145d70356a5a
15331386ed3c
hex1cb117c8b8

123230210232 has 128 divisors (see below), whose sum is σ = 339375882240. Its totient is φ = 37118269440.

The previous prime is 123230210227. The next prime is 123230210239. The reversal of 123230210232 is 232012032321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123230210199 and 123230210208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123230210239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567938 + ... + 1644654.

It is an arithmetic number, because the mean of its divisors is an integer number (2651374080).

Almost surely, 2123230210232 is an apocalyptic number.

123230210232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123230210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169687941120).

123230210232 is an abundant number, since it is smaller than the sum of its proper divisors (216145672008).

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

123230210232 is a wasteful number, since it uses less digits than its factorization.

123230210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76901 (or 76897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123230210232 its reverse (232012032321), we get a palindrome (355242242553).

The spelling of 123230210232 in words is "one hundred twenty-three billion, two hundred thirty million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 127 136 186 204 248 254 372 381 408 508 527 744 762 1016 1054 1524 1581 2108 2159 3048 3162 3937 4216 4318 6324 6477 7874 8636 11811 12648 12954 15748 17272 23622 25908 31496 47244 51816 66929 76717 94488 133858 153434 200787 230151 267716 306868 401574 460302 535432 613736 803148 920604 1304189 1606296 1841208 2378227 2608378 3912567 4756454 5216756 7134681 7825134 9512908 9743059 10433512 14269362 15650268 19025816 19486118 28538724 29229177 31300536 38972236 40429859 57077448 58458354 77944472 80859718 116916708 121289577 161719436 165632003 233833416 242579154 302034829 323438872 331264006 485158308 496896009 604069658 662528012 906104487 970316616 993792018 1208139316 1325056024 1812208974 1987584036 2416278632 3624417948 3975168072 5134592093 7248835896 10269184186 15403776279 20538368372 30807552558 41076736744 61615105116 123230210232