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32131000200 = 23352134119359
BaseRepresentation
bin11101111011001010…
…000010011110001000
310001221021010221002110
4131323022002132020
51011301014001300
622432154502320
72215143665265
oct357312023610
9101837127073
1032131000200
1112699126022
1262887349a0
133050a18270
1417ab48426c
15c80c66550
hex77b282788

32131000200 has 96 divisors (see below), whose sum is σ = 107268134400. Its totient is φ = 7909167360.

The previous prime is 32131000193. The next prime is 32131000201. The reversal of 32131000200 is 200013123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (32131000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2051880 + ... + 2067479.

It is an arithmetic number, because the mean of its divisors is an integer number (1117376400).

Almost surely, 232131000200 is an apocalyptic number.

32131000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32131000200 is an abundant number, since it is smaller than the sum of its proper divisors (75137134200).

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

32131000200 is a wasteful number, since it uses less digits than its factorization.

32131000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119391 (or 4119382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 32131000200 its reverse (200013123), we get a palindrome (32331013323).

The spelling of 32131000200 in words is "thirty-two billion, one hundred thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 4119359 8238718 12358077 16477436 20596795 24716154 32954872 41193590 49432308 53551667 61790385 82387180 98864616 102983975 107103334 123580770 160655001 164774360 205967950 214206668 247161540 267758335 308951925 321310002 411935900 428413336 494323080 535516670 617903850 642620004 803275005 823871800 1071033340 1235807700 1285240008 1338791675 1606550010 2142066680 2471615400 2677583350 3213100020 4016375025 5355166700 6426200040 8032750050 10710333400 16065500100 32131000200