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103131131000 = 23532516412
BaseRepresentation
bin110000000001100011…
…0000010110001111000
3100212012101102021111112
41200003012002301320
53142203032143000
6115213334015452
710310454102212
oct1400306026170
9325171367445
10103131131000
113a812920177
1217ba24a7588
139957417491
144dc4c3d5b2
152a39082235
hex1803182c78

103131131000 has 96 divisors (see below), whose sum is σ = 242666882640. Its totient is φ = 41024000000.

The previous prime is 103131130979. The next prime is 103131131027. The reversal of 103131131000 is 131131301.

It is a happy number.

It is a super-2 number, since 2×1031311310002 (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160890680 + ... + 160891320.

Almost surely, 2103131131000 is an apocalyptic number.

103131131000 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 103131131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121333441320).

103131131000 is an abundant number, since it is smaller than the sum of its proper divisors (139535751640).

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

103131131000 is an frugal number, since it uses more digits than its factorization.

103131131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 103131131000 its reverse (131131301), we get a palindrome (103262262301).

The spelling of 103131131000 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 500 502 641 1000 1004 1255 1282 2008 2510 2564 3205 5020 5128 6275 6410 10040 12550 12820 16025 25100 25640 31375 32050 50200 62750 64100 80125 125500 128200 160250 160891 251000 320500 321782 410881 641000 643564 804455 821762 1287128 1608910 1643524 2054405 3217820 3287048 4022275 4108810 6435640 8044550 8217620 10272025 16089100 16435240 20111375 20544050 32178200 40222750 41088100 51360125 80445500 82176200 102720250 103131131 160891000 205440500 206262262 410881000 412524524 515655655 825049048 1031311310 2062622620 2578278275 4125245240 5156556550 10313113100 12891391375 20626226200 25782782750 51565565500 103131131000