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123013332 = 2232133161139
BaseRepresentation
bin1110101010100…
…00100011010100
322120110201120100
413111100203110
5222442411312
620112334100
73022411311
oct725204324
9276421510
10123013332
116348a812
1235244330
131c640670
14124a1d08
15abed5dc
hex75508d4

123013332 has 144 divisors (see below), whose sum is σ = 353866240. Its totient is φ = 35769600.

The previous prime is 123013327. The next prime is 123013337. The reversal of 123013332 is 233310321.

It is an interprime number because it is at equal distance from previous prime (123013327) and next prime (123013337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884919 + ... + 885057.

Almost surely, 2123013332 is an apocalyptic number.

123013332 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 123013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176933120).

123013332 is an abundant number, since it is smaller than the sum of its proper divisors (230852908).

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

123013332 is a wasteful number, since it uses less digits than its factorization.

123013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123013332 is about 11091.1375431017. The cubic root of 123013332 is about 497.3369508530.

Adding to 123013332 its reverse (233310321), we get a palindrome (356323653).

The spelling of 123013332 in words is "one hundred twenty-three million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 61 62 78 93 117 122 124 139 156 183 186 234 244 278 279 366 372 403 417 468 549 556 558 732 793 806 834 1098 1116 1209 1251 1586 1612 1668 1807 1891 2196 2379 2418 2502 3172 3614 3627 3782 4309 4758 4836 5004 5421 5673 7137 7228 7254 7564 8479 8618 9516 10842 11346 12927 14274 14508 16263 16958 17019 17236 21684 22692 24583 25437 25854 28548 32526 33916 34038 38781 49166 50874 51708 56017 65052 68076 73749 76311 77562 98332 101748 110227 112034 147498 152622 155124 168051 220454 221247 224068 262849 294996 305244 330681 336102 440908 442494 504153 525698 661362 672204 788547 884988 992043 1008306 1051396 1322724 1577094 1984086 2016612 2365641 3154188 3417037 3968172 4731282 6834074 9462564 10251111 13668148 20502222 30753333 41004444 61506666 123013332