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113100810984 = 23327271944587
BaseRepresentation
bin110100101010101010…
…1010110101011101000
3101210221012010111101100
41221111111112223220
53323112301422414
6123542514521400
711112513013500
oct1512525265350
9353835114340
10113100810984
1143a69506317
1219b05296260
13a885a4a0c5
14568cd4ca00
152e1e451609
hex1a55556ae8

113100810984 has 144 divisors (see below), whose sum is σ = 356828846400. Its totient is φ = 32268849984.

The previous prime is 113100810973. The next prime is 113100810989. The reversal of 113100810984 is 489018001311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113100810989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2514339 + ... + 2558925.

It is an arithmetic number, because the mean of its divisors is an integer number (2477978100).

Almost surely, 2113100810984 is an apocalyptic number.

113100810984 is a gapful number since it is divisible by the number (14) 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 113100810984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178414423200).

113100810984 is an abundant number, since it is smaller than the sum of its proper divisors (243728035416).

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

113100810984 is a wasteful number, since it uses less digits than its factorization.

113100810984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45332 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 113100810984 in words is "one hundred thirteen billion, one hundred million, eight hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 719 882 1176 1438 1764 2157 2876 3528 4314 5033 5752 6471 8628 10066 12942 15099 17256 20132 25884 30198 35231 40264 44587 45297 51768 60396 70462 89174 90594 105693 120792 133761 140924 178348 181188 211386 267522 281848 312109 317079 356696 362376 401283 422772 535044 624218 634158 802566 845544 936327 1070088 1248436 1268316 1605132 1872654 2184763 2496872 2536632 2808981 3210264 3745308 4369526 5617962 6554289 7490616 8739052 11235924 13108578 17478104 19662867 22471848 26217156 32058053 39325734 52434312 64116106 78651468 96174159 128232212 157302936 192348318 224406371 256464424 288522477 384696636 448812742 577044954 673219113 769393272 897625484 1154089908 1346438226 1570844597 1795250968 2019657339 2308179816 2692876452 3141689194 4039314678 4712533791 5385752904 6283378388 8078629356 9425067582 12566756776 14137601373 16157258712 18850135164 28275202746 37700270328 56550405492 113100810984