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112313010120 = 233537109723059
BaseRepresentation
bin110100010011001100…
…0001000011111001000
3101201220021202001202120
41220212120020133020
53320004112310440
6123332413331240
711054135556123
oct1504630103710
9351807661676
10112313010120
11436a4847923
1219925496b20
13a78b778a4c
14561647b3ba
152dc51d8dd0
hex1a266087c8

112313010120 has 128 divisors (see below), whose sum is σ = 346375958400. Its totient is φ = 29112846336.

The previous prime is 112313010097. The next prime is 112313010127. The reversal of 112313010120 is 21010313211.

It is a happy number.

It is a super-2 number, since 2×1123130101202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112313010120.

It is not an unprimeable number, because it can be changed into a prime (112313010127) 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, 4859151 + ... + 4882209.

It is an arithmetic number, because the mean of its divisors is an integer number (2706062175).

Almost surely, 2112313010120 is an apocalyptic number.

112313010120 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 112313010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173187979200).

112313010120 is an abundant number, since it is smaller than the sum of its proper divisors (234062948280).

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

112313010120 is a wasteful number, since it uses less digits than its factorization.

112313010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24207 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112313010120 its reverse (21010313211), we get a palindrome (133323323331).

The spelling of 112313010120 in words is "one hundred twelve billion, three hundred thirteen million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1097 1110 1480 2194 2220 3291 4388 4440 5485 6582 8776 10970 13164 16455 21940 23059 26328 32910 40589 43880 46118 65820 69177 81178 92236 115295 121767 131640 138354 162356 184472 202945 230590 243534 276708 324712 345885 405890 461180 487068 553416 608835 691770 811780 853183 922360 974136 1217670 1383540 1623560 1706366 2435340 2559549 2767080 3412732 4265915 4870680 5119098 6825464 8531830 10238196 12797745 17063660 20476392 25295723 25595490 34127320 50591446 51190980 75887169 101182892 102381960 126478615 151774338 202365784 252957230 303548676 379435845 505914460 607097352 758871690 935941751 1011828920 1517743380 1871883502 2807825253 3035486760 3743767004 4679708755 5615650506 7487534008 9359417510 11231301012 14039126265 18718835020 22462602024 28078252530 37437670040 56156505060 112313010120