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112202110120 = 23529596724469
BaseRepresentation
bin110100001111111000…
…1000101010010101000
3101201121120001202120011
41220133301011102220
53314242220010440
6123313412341304
711051321125402
oct1503761052250
9351546052504
10112202110120
1143648191031
12198b4314834
13a7717b9b49
14560584db72
152dba5ce9ea
hex1a1fc454a8

112202110120 has 128 divisors (see below), whose sum is σ = 269561520000. Its totient is φ = 41961249792.

The previous prime is 112202110087. The next prime is 112202110147. The reversal of 112202110120 is 21011202211.

It is a self number, because there is not a number n which added to its sum of digits gives 112202110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4573246 + ... + 4597714.

It is an arithmetic number, because the mean of its divisors is an integer number (2105949375).

Almost surely, 2112202110120 is an apocalyptic number.

112202110120 is a gapful number since it is divisible by the number (10) 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 112202110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134780760000).

112202110120 is an abundant number, since it is smaller than the sum of its proper divisors (157359409880).

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

112202110120 is a wasteful number, since it uses less digits than its factorization.

112202110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635 (or 24631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112202110120 its reverse (21011202211), we get a palindrome (133213312331).

The spelling of 112202110120 in words is "one hundred twelve billion, two hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 67 116 118 134 145 232 236 268 290 295 335 472 536 580 590 670 1160 1180 1340 1711 1943 2360 2680 3422 3886 3953 6844 7772 7906 8555 9715 13688 15544 15812 17110 19430 19765 24469 31624 34220 38860 39530 48938 68440 77720 79060 97876 114637 122345 158120 195752 229274 244690 458548 489380 573185 709601 917096 978760 1146370 1419202 1443671 1639423 2292740 2838404 2887342 3278846 3548005 4585480 5676808 5774684 6557692 7096010 7218355 8197115 11549368 13115384 14192020 14436710 16394230 28384040 28873420 32788460 41866459 47543267 57746840 65576920 83732918 95086534 96725957 167465836 190173068 193451914 209332295 237716335 334931672 380346136 386903828 418664590 475432670 483629785 773807656 837329180 950865340 967259570 1674658360 1901730680 1934519140 2805052753 3869038280 5610105506 11220211012 14025263765 22440422024 28050527530 56101055060 112202110120