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212112000131000 = 2353445494761319
BaseRepresentation
bin110000001110101000101100…
…011010111001111110111000
31000211000201010222201022122212
4300032220230122321332320
5210300220334013143000
62031042524015034252
762451405045616304
oct6016505432717670
91024021128638585
10212112000131000
1161649215364292
121b95888780b988
1391480ca66a518
143a543c02b6d04
15197c7be993c35
hexc0ea2c6b9fb8

212112000131000 has 64 divisors (see below), whose sum is σ = 496353326040000. Its totient is φ = 84842877705600.

The previous prime is 212112000130951. The next prime is 212112000131041. The reversal of 212112000131000 is 131000211212.

It is a super-2 number, since 2×2121120001310002 (a number of 29 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, 42168341 + ... + 46929659.

It is an arithmetic number, because the mean of its divisors is an integer number (7755520719375).

Almost surely, 2212112000131000 is an apocalyptic number.

212112000131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112000131000 is an abundant number, since it is smaller than the sum of its proper divisors (284241325909000).

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

212112000131000 is a wasteful number, since it uses less digits than its factorization.

212112000131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805889 (or 4805875 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212112000131000 its reverse (131000211212), we get a palindrome (212243000342212).

The spelling of 212112000131000 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 44549 89098 178196 222745 356392 445490 890980 1113725 1781960 2227450 4454900 4761319 5568625 8909800 9522638 11137250 19045276 22274500 23806595 38090552 44549000 47613190 95226380 119032975 190452760 238065950 476131900 595164875 952263800 1190329750 2380659500 4761319000 212112000131 424224000262 848448000524 1060560000655 1696896001048 2121120001310 4242240002620 5302800003275 8484480005240 10605600006550 21211200013100 26514000016375 42422400026200 53028000032750 106056000065500 212112000131000