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10131331000 = 235371447333
BaseRepresentation
bin10010110111101111…
…11101011110111000
3222011001212221101111
421123313331132320
5131222110043000
64353153330104
7506030615110
oct113367753670
928131787344
1010131331000
114329965a2a
121b68b66934
13c55c80a1b
146c178c040
153e46a0cba
hex25bdfd7b8

10131331000 has 64 divisors (see below), whose sum is σ = 27094092480. Its totient is φ = 3473596800.

The previous prime is 10131330991. The next prime is 10131331027. The reversal of 10131331000 is 13313101.

It is a happy number.

It is a super-2 number, since 2×101313310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716667 + ... + 730666.

It is an arithmetic number, because the mean of its divisors is an integer number (423345195).

Almost surely, 210131331000 is an apocalyptic number.

10131331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131331000 is an abundant number, since it is smaller than the sum of its proper divisors (16962761480).

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

10131331000 is a wasteful number, since it uses less digits than its factorization.

10131331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447361 (or 1447347 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131331000 its reverse (13313101), we get a palindrome (10144644101).

The spelling of 10131331000 in words is "ten billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1447333 2894666 5789332 7236665 10131331 11578664 14473330 20262662 28946660 36183325 40525324 50656655 57893320 72366650 81050648 101313310 144733300 180916625 202626620 253283275 289466600 361833250 405253240 506566550 723666500 1013133100 1266416375 1447333000 2026266200 2532832750 5065665500 10131331000