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10123012032 = 263717443059
BaseRepresentation
bin10010110110110000…
…01110011111000000
3222010111020021220120
421123120032133000
5131212442341112
64352255140240
7505600116420
oct113330163700
928114207816
1010123012032
1143251a3851
121b66214680
13c5432a363
146c0624480
153e3aaae8c
hex25b60e7c0

10123012032 has 112 divisors (see below), whose sum is σ = 32410725120. Its totient is φ = 2722148352.

The previous prime is 10123012007. The next prime is 10123012043. The reversal of 10123012032 is 23021032101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198682 + ... + 244377.

Almost surely, 210123012032 is an apocalyptic number.

10123012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123012032 is an abundant number, since it is smaller than the sum of its proper divisors (22287713088).

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

10123012032 is a wasteful number, since it uses less digits than its factorization.

10123012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443098 (or 443088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10123012032 its reverse (23021032101), we get a palindrome (33144044133).

The spelling of 10123012032 in words is "ten billion, one hundred twenty-three million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 443059 886118 1329177 1772236 2658354 3101413 3544472 5316708 6202826 7088944 7532003 9304239 10633416 12405652 14177888 15064006 18608478 21266832 22596009 24811304 28355776 30128012 37216956 42533664 45192018 49622608 52724021 60256024 74433912 85067328 90384036 99245216 105448042 120512048 148867824 158172063 180768072 198490432 210896084 241024096 297735648 316344126 361536144 421792168 482048192 595471296 632688252 723072288 843584336 1265376504 1446144576 1687168672 2530753008 3374337344 5061506016 10123012032