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31000817300 = 22522915237019
BaseRepresentation
bin11100110111110010…
…101110111010010100
32222000111111200121112
4130313302232322110
51001442202123200
622124103034152
72145141412355
oct346762567224
988014450545
1031000817300
1112169175972
12601213b958
132c0082a29b
141701329d2c
15c1691c535
hex737caee94

31000817300 has 72 divisors (see below), whose sum is σ = 69647104800. Its totient is φ = 11963163520.

The previous prime is 31000817261. The next prime is 31000817303. The reversal of 31000817300 is 371800013.

It is a happy number.

It is a super-2 number, since 2×310008173002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000817303) 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, 4413191 + ... + 4420209.

It is an arithmetic number, because the mean of its divisors is an integer number (967320900).

Almost surely, 231000817300 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 31000817300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34823552400).

31000817300 is an abundant number, since it is smaller than the sum of its proper divisors (38646287500).

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

31000817300 is a wasteful number, since it uses less digits than its factorization.

31000817300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 31000817300 in words is "thirty-one billion, eight hundred seventeen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1523 2900 3046 6092 7019 7615 14038 15230 28076 30460 35095 38075 44167 70190 76150 88334 140380 152300 175475 176668 203551 220835 350950 407102 441670 701900 814204 883340 1017755 1104175 2035510 2208350 4071020 4416700 5088775 10177550 10689937 20355100 21379874 42759748 53449685 106899370 213798740 267248425 310008173 534496850 620016346 1068993700 1240032692 1550040865 3100081730 6200163460 7750204325 15500408650 31000817300