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31023203100 = 22352176199721
BaseRepresentation
bin11100111001001000…
…001000001100011100
32222002001122000011020
4130321020020030130
51002013414444400
622130222524140
72145532606161
oct347110101434
988061560136
1031023203100
111217a87572a
126019736650
132c05367616
1417042b6068
15c188902a0
hex73920831c

31023203100 has 144 divisors (see below), whose sum is σ = 96599504736. Its totient is φ = 7658496000.

The previous prime is 31023203093. The next prime is 31023203129. The reversal of 31023203100 is 130232013.

It is a super-2 number, since 2×310232031002 (a number of 22 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 31023203100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261240 + ... + 360960.

It is an arithmetic number, because the mean of its divisors is an integer number (670829894).

Almost surely, 231023203100 is an apocalyptic number.

31023203100 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 31023203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48299752368).

31023203100 is an abundant number, since it is smaller than the sum of its proper divisors (65576301636).

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

31023203100 is a wasteful number, since it uses less digits than its factorization.

31023203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99816 (or 99809 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31023203100 its reverse (130232013), we get a palindrome (31153435113).

The spelling of 31023203100 in words is "thirty-one billion, twenty-three million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 61 68 75 85 100 102 122 150 170 183 204 244 255 300 305 340 366 425 510 610 732 850 915 1020 1037 1220 1275 1525 1700 1830 2074 2550 3050 3111 3660 4148 4575 5100 5185 6100 6222 9150 10370 12444 15555 18300 20740 25925 31110 51850 62220 77775 99721 103700 155550 199442 299163 311100 398884 498605 598326 997210 1196652 1495815 1695257 1994420 2493025 2991630 3390514 4986050 5085771 5983260 6082981 6781028 7479075 8476285 9972100 10171542 12165962 14958150 16952570 18248943 20343084 24331924 25428855 29916300 30414905 33905140 36497886 42381425 50857710 60829810 72995772 84762850 91244715 101715420 103410677 121659620 127144275 152074525 169525700 182489430 206821354 254288550 304149050 310232031 364978860 413642708 456223575 508577100 517053385 608298100 620464062 912447150 1034106770 1240928124 1551160155 1824894300 2068213540 2585266925 3102320310 5170533850 6204640620 7755800775 10341067700 15511601550 31023203100