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211100031131000 = 23531119190911921
BaseRepresentation
bin101111111111111010001110…
…010111100001110101111000
31000200102222002010111200211112
4233333322032113201311320
5210132130330432143000
62024550003203215452
762315321364215444
oct5777721627416570
91020388063450745
10211100031131000
1161299025230560
121b814725377588
1390a38557a237b
143a1b420401824
1519612e2582235
hexbffe8e5e1d78

211100031131000 has 64 divisors (see below), whose sum is σ = 538880806769760. Its totient is φ = 76763647680000.

The previous prime is 211100031130981. The next prime is 211100031131089. The reversal of 211100031131000 is 131130001112.

It is a happy number.

It is a super-2 number, since 2×2111000311310002 (a number of 29 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 (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9595444961 + ... + 9595466960.

Almost surely, 2211100031131000 is an apocalyptic number.

211100031131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100031131000 is an abundant number, since it is smaller than the sum of its proper divisors (327780775638760).

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

211100031131000 is a wasteful number, since it uses less digits than its factorization.

211100031131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190911953 (or 19190911939 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 211100031131000 its reverse (131130001112), we get a palindrome (211231161132112).

The spelling of 211100031131000 in words is "two hundred eleven trillion, one hundred billion, thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 19190911921 38381823842 76763647684 95954559605 153527295368 191909119210 211100031131 383818238420 422200062262 479772798025 767636476840 844400124524 959545596050 1055500155655 1688800249048 1919091192100 2111000311310 2398863990125 3838182384200 4222000622620 4797727980250 5277500778275 8444001245240 9595455960500 10555001556550 19190911921000 21110003113100 26387503891375 42220006226200 52775007782750 105550015565500 211100031131000