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10112123120 = 2451131370679
BaseRepresentation
bin10010110101011101…
…01100000011110000
3222002201202002010112
421122232230003300
5131202200414440
64351225520452
7505405425341
oct113256540360
928081662115
1010112123120
11431a036850
121b62643128
13c51cb7008
146bcdcc0c8
153e2b59965
hex25abac0f0

10112123120 has 80 divisors (see below), whose sum is σ = 26475448320. Its totient is φ = 3558508800.

The previous prime is 10112123113. The next prime is 10112123173. The reversal of 10112123120 is 2132121101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10112123095 and 10112123104.

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, 158060 + ... + 212619.

It is an arithmetic number, because the mean of its divisors is an integer number (330943104).

Almost surely, 210112123120 is an apocalyptic number.

10112123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112123120 is an abundant number, since it is smaller than the sum of its proper divisors (16363325200).

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

10112123120 is a wasteful number, since it uses less digits than its factorization.

10112123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370734 (or 370728 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10112123120 its reverse (2132121101), we get a palindrome (12244244221).

The spelling of 10112123120 in words is "ten billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 370679 741358 1482716 1853395 2965432 3706790 4077469 5930864 7413580 8154938 11491049 14827160 16309876 20387345 22982098 29654320 32619752 40774690 45964196 57455245 65239504 81549380 91928392 114910490 126401539 163098760 183856784 229820980 252803078 326197520 459641960 505606156 632007695 919283920 1011212312 1264015390 2022424624 2528030780 5056061560 10112123120