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31188426120 = 23325412113037
BaseRepresentation
bin11101000010111110…
…011001110110001000
32222111120112012112100
4131002332121312020
51002333214113440
622154444113400
72152610151015
oct350276316610
988446465470
1031188426120
1112255065185
126064b35860
132c30666517
14171c20470c
15c2812a230
hex742f99d88

31188426120 has 96 divisors (see below), whose sum is σ = 103834687320. Its totient is φ = 8114058240.

The previous prime is 31188426107. The next prime is 31188426127. The reversal of 31188426120 is 2162488113.

31188426120 is a `hidden beast` number, since 31 + 1 + 8 + 8 + 4 + 2 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11440869444 + 19747556676 = 106962^2 + 140526^2 .

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 (31188426127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041759 + ... + 1071278.

Almost surely, 231188426120 is an apocalyptic number.

31188426120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31188426120 is an abundant number, since it is smaller than the sum of its proper divisors (72646261200).

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

31188426120 is a wasteful number, since it uses less digits than its factorization.

31188426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113095 (or 2113088 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 31188426120 in words is "thirty-one billion, one hundred eighty-eight million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 2113037 4226074 6339111 8452148 10565185 12678222 16904296 19017333 21130370 25356444 31695555 38034666 42260740 50712888 63391110 76069332 84521480 86634517 95086665 126782220 152138664 173269034 190173330 253564440 259903551 346538068 380346660 433172585 519807102 693076136 760693320 779710653 866345170 1039614204 1299517755 1559421306 1732690340 2079228408 2599035510 3118842612 3465380680 3898553265 5198071020 6237685224 7797106530 10396142040 15594213060 31188426120