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31313122000 = 2453107146323
BaseRepresentation
bin11101001010011010…
…000101001011010000
32222211021011102010021
4131022122011023100
51003112124401000
622215100513224
72155653100606
oct351232051320
988737142107
1031313122000
1112309494026
12609a84b814
132c50445974
1417309c3876
15c3405c11a
hex74a6852d0

31313122000 has 80 divisors (see below), whose sum is σ = 76423269312. Its totient is φ = 12408105600.

The previous prime is 31313121989. The next prime is 31313122013. The reversal of 31313122000 is 22131313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140839 + ... + 287161.

Almost surely, 231313122000 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 31313122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211634656).

31313122000 is an abundant number, since it is smaller than the sum of its proper divisors (45110147312).

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

31313122000 is a wasteful number, since it uses less digits than its factorization.

31313122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146453 (or 146437 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31313122000 its reverse (22131313), we get a palindrome (31335253313).

The spelling of 31313122000 in words is "thirty-one billion, three hundred thirteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 5350 8560 10700 13375 21400 26750 42800 53500 107000 146323 214000 292646 585292 731615 1170584 1463230 2341168 2926460 3658075 5852920 7316150 11705840 14632300 15656561 18290375 29264600 31313122 36580750 58529200 62626244 73161500 78282805 125252488 146323000 156565610 250504976 292646000 313131220 391414025 626262440 782828050 1252524880 1565656100 1957070125 3131312200 3914140250 6262624400 7828280500 15656561000 31313122000