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31701061300 = 2252894497933
BaseRepresentation
bin11101100001100001…
…111100111010110100
310000211022010202210111
4131201201330322310
51004410432430200
622321355432404
72201403401146
oct354141747264
9100738122714
1031701061300
1112498471617
126188755704
132cb292374c
14176a328c96
15c5813c0ba
hex76187ceb4

31701061300 has 72 divisors (see below), whose sum is σ = 69727959000. Its totient is φ = 12508446720.

The previous prime is 31701061289. The next prime is 31701061369. The reversal of 31701061300 is 316010713.

It can be written as a sum of positive squares in 12 ways, for example, as 14906456464 + 16794604836 = 122092^2 + 129594^2 .

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 23 ways as a sum of consecutive naturals, for example, 3992134 + ... + 4000066.

It is an arithmetic number, because the mean of its divisors is an integer number (968443875).

Almost surely, 231701061300 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 31701061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863979500).

31701061300 is an abundant number, since it is smaller than the sum of its proper divisors (38026897700).

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

31701061300 is a wasteful number, since it uses less digits than its factorization.

31701061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The spelling of 31701061300 in words is "thirty-one billion, seven hundred one million, sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 449 890 898 1780 1796 2225 2245 4450 4490 7933 8900 8980 11225 15866 22450 31732 39665 39961 44900 79330 79922 158660 159844 198325 199805 396650 399610 706037 793300 799220 999025 1412074 1998050 2824148 3530185 3561917 3996100 7060370 7123834 14120740 14247668 17650925 17809585 35301850 35619170 70603700 71238340 89047925 178095850 317010613 356191700 634021226 1268042452 1585053065 3170106130 6340212260 7925265325 15850530650 31701061300