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212101001111000 = 2353239221782657
BaseRepresentation
bin110000001110011110011100…
…110100111110010111011000
31000210222122202110010012201202
4300032132130310332113120
5210300030322241023000
62031033504343533332
762450535350524511
oct6016363464762730
91023878673105652
10212101001111000
1161644590735811
121b95671815a248
1391470669c6c71
143a53a595bda08
15197c379049dd5
hexc0e79cd3e5d8

212101001111000 has 64 divisors (see below), whose sum is σ = 517895314073280. Its totient is φ = 81151687372800.

The previous prime is 212101001110981. The next prime is 212101001111003. The reversal of 212101001111000 is 111100101212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101001111003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4610868329 + ... + 4610914328.

It is an arithmetic number, because the mean of its divisors is an integer number (8092114282395).

Almost surely, 2212101001111000 is an apocalyptic number.

212101001111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101001111000 is an abundant number, since it is smaller than the sum of its proper divisors (305794312962280).

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

212101001111000 is a wasteful number, since it uses less digits than its factorization.

212101001111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221782701 (or 9221782687 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 212101001111000 its reverse (111100101212), we get a palindrome (212212101212212).

The spelling of 212101001111000 in words is "two hundred twelve trillion, one hundred one billion, one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 9221782657 18443565314 36887130628 46108913285 73774261256 92217826570 184435653140 212101001111 230544566425 368871306280 424202002222 461089132850 848404004444 922178265700 1060505005555 1152722832125 1696808008888 1844356531400 2121010011110 2305445664250 4242020022220 4610891328500 5302525027775 8484040044440 9221782657000 10605050055550 21210100111100 26512625138875 42420200222200 53025250277750 106050500555500 212101001111000