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212112002000131 = 1743737573934093
BaseRepresentation
bin110000001110101000101100…
…100010000010010100000011
31000211000201011010020021121221
4300032220230202002110003
5210300220340003001011
62031042524123055511
762451405100532542
oct6016505442022403
91024021133207557
10212112002000131
1161649216420622
121b958888371597
1391480cab7320c
143a543c0642159
15197c7bec12971
hexc0ea2c882503

212112002000131 has 16 divisors (see below), whose sum is σ = 229815356959584. Its totient is φ = 194989461778944.

The previous prime is 212112002000117. The next prime is 212112002000201. The reversal of 212112002000131 is 131000200211212.

It is a cyclic number.

It is not a de Polignac number, because 212112002000131 - 223 = 212111993611523 is a prime.

It is a super-2 number, since 2×2121120020001312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212112002000831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51949321 + ... + 55883413.

It is an arithmetic number, because the mean of its divisors is an integer number (14363459809974).

Almost surely, 2212112002000131 is an apocalyptic number.

212112002000131 is a deficient number, since it is larger than the sum of its proper divisors (17703354959453).

212112002000131 is a wasteful number, since it uses less digits than its factorization.

212112002000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007910.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212112002000131 its reverse (131000200211212), we get a palindrome (343112202211343).

The spelling of 212112002000131 in words is "two hundred twelve trillion, one hundred twelve billion, two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 43 731 73757 1253869 3171551 3934093 53916367 66879581 169165999 2875821983 290166897401 4932837255817 12477176588243 212112002000131