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131000112100 = 225211139160847
BaseRepresentation
bin111101000000000110…
…1110001001111100100
3110112010121211012111201
41322000031301033210
54121242012041400
6140103003012244
712315206403034
oct1720015611744
9415117735451
10131000112100
115061416a160
122147b80a084
13c479150a40
1464aa2458c4
15361aa6806a
hex1e803713e4

131000112100 has 72 divisors (see below), whose sum is σ = 333967874688. Its totient is φ = 43972060800.

The previous prime is 131000112083. The next prime is 131000112149. The reversal of 131000112100 is 1211000131.

It is a super-2 number, since 2×1310001121002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4566124 + ... + 4594723.

It is an arithmetic number, because the mean of its divisors is an integer number (4638442704).

Almost surely, 2131000112100 is an apocalyptic number.

131000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000112100 is an abundant number, since it is smaller than the sum of its proper divisors (202967762588).

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

131000112100 is a wasteful number, since it uses less digits than its factorization.

131000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160885 (or 9160878 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 131000112100 its reverse (1211000131), we get a palindrome (132211112231).

The spelling of 131000112100 in words is "one hundred thirty-one billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 9160847 18321694 36643388 45804235 91608470 100769317 119091011 183216940 201538634 229021175 238182022 403077268 458042350 476364044 503846585 595455055 916084700 1007693170 1190910110 1310001121 2015386340 2381820220 2519232925 2620002242 2977275275 5038465850 5240004484 5954550550 6550005605 10076931700 11909101100 13100011210 26200022420 32750028025 65500056050 131000112100