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10031531000 = 235310639437
BaseRepresentation
bin10010101011110110…
…10000001111111000
3221220010002120112012
421111323100033320
5131021032443000
64335230305052
7503406415031
oct112573201770
927803076465
1010031531000
1142885a0797
121b3b658188
13c3b3aa27a
146b240da88
153daa3a735
hex255ed03f8

10031531000 has 64 divisors (see below), whose sum is σ = 23498354880. Its totient is φ = 4008412800.

The previous prime is 10031530979. The next prime is 10031531033. The reversal of 10031531000 is 13513001.

It is a super-2 number, since 2×100315310002 (a number of 21 digits) contains 22 as substring.

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, 1058282 + ... + 1067718.

It is an arithmetic number, because the mean of its divisors is an integer number (367161795).

Almost surely, 210031531000 is an apocalyptic number.

10031531000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749177440).

10031531000 is an abundant number, since it is smaller than the sum of its proper divisors (13466823880).

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

10031531000 is a wasteful number, since it uses less digits than its factorization.

10031531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The spelling of 10031531000 in words is "ten billion, thirty-one million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1063 2126 4252 5315 8504 9437 10630 18874 21260 26575 37748 42520 47185 53150 75496 94370 106300 132875 188740 212600 235925 265750 377480 471850 531500 943700 1063000 1179625 1887400 2359250 4718500 9437000 10031531 20063062 40126124 50157655 80252248 100315310 200630620 250788275 401261240 501576550 1003153100 1253941375 2006306200 2507882750 5015765500 10031531000