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31391100 = 223252132683
BaseRepresentation
bin111011110111…
…1110101111100
32012001211111100
41313233311330
531014003400
63040453100
7530551146
oct167576574
965054440
1031391100
11167a0664
12a61a190
136671220
144251c96
152b51100
hex1defd7c

31391100 has 108 divisors (see below), whose sum is σ = 106001896. Its totient is φ = 7724160.

The previous prime is 31391099. The next prime is 31391119. The reversal of 31391100 is 119313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 10359 + ... + 13041.

Almost surely, 231391100 is an apocalyptic number.

31391100 is a gapful number since it is divisible by the number (30) 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 31391100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53000948).

31391100 is an abundant number, since it is smaller than the sum of its proper divisors (74610796).

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

31391100 is a wasteful number, since it uses less digits than its factorization.

31391100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 31391100 is about 5602.7760976145. The cubic root of 31391100 is about 315.4536170505.

The spelling of 31391100 in words is "thirty-one million, three hundred ninety-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2683 2925 3900 5366 5850 8049 10732 11700 13415 16098 24147 26830 32196 34879 40245 48294 53660 67075 69758 80490 96588 104637 120735 134150 139516 160980 174395 201225 209274 241470 268300 313911 348790 402450 418548 482940 523185 603675 627822 697580 804900 871975 1046370 1207350 1255644 1569555 1743950 2092740 2414700 2615925 3139110 3487900 5231850 6278220 7847775 10463700 15695550 31391100