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31012443200 = 2652113171529
BaseRepresentation
bin11100111000011111…
…000101010001000000
32222001022101100100102
4130320133011101000
51002003141140300
622125200141532
72145342263204
oct347037052100
988038340312
1031012443200
1112174796652
1260160078a8
132c0306ac0b
141702ab4b04
15c179670d5
hex7387c5440

31012443200 has 84 divisors (see below), whose sum is σ = 76985751540. Its totient is φ = 12295127040.

The previous prime is 31012443191. The next prime is 31012443221. The reversal of 31012443200 is 234421013.

It can be written as a sum of positive squares in 6 ways, for example, as 7789121536 + 23223321664 = 88256^2 + 152392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95036 + ... + 266564.

Almost surely, 231012443200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38492875770).

31012443200 is an abundant number, since it is smaller than the sum of its proper divisors (45973308340).

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

31012443200 is a wasteful number, since it uses less digits than its factorization.

31012443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171664 (or 171649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31012443200 its reverse (234421013), we get a palindrome (31246864213).

The spelling of 31012443200 in words is "thirty-one billion, twelve million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 160 200 226 320 400 452 565 800 904 1130 1600 1808 2260 2825 3616 4520 5650 7232 9040 11300 18080 22600 36160 45200 90400 171529 180800 343058 686116 857645 1372232 1715290 2744464 3430580 4288225 5488928 6861160 8576450 10977856 13722320 17152900 19382777 27444640 34305800 38765554 54889280 68611600 77531108 96913885 137223200 155062216 193827770 274446400 310124432 387655540 484569425 620248864 775311080 969138850 1240497728 1550622160 1938277700 3101244320 3876555400 6202488640 7753110800 15506221600 31012443200