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212314415142401 = 11131937692829999
BaseRepresentation
bin110000010001100101001101…
…010010111001011000000001
31000211202001121122021021222222
4300101211031102321120001
5210312024410234024101
62031315521255140425
762502132063051005
oct6021451522713001
91024661548237888
10212314415142401
1161717046360280
121b98bb58074715
1391612180ccc10
143a60103004705
151982bb9e5701b
hexc1194d4b9601

212314415142401 has 16 divisors (see below), whose sum is σ = 250724715360000. Its totient is φ = 177242803153920.

The previous prime is 212314415142359. The next prime is 212314415142419. The reversal of 212314415142401 is 104241514413212.

It is a cyclic number.

It is not a de Polignac number, because 212314415142401 - 26 = 212314415142337 is a prime.

It is a super-2 number, since 2×2123144151424012 (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 (212314415142601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846387401 + ... + 3846442598.

It is an arithmetic number, because the mean of its divisors is an integer number (15670294710000).

Almost surely, 2212314415142401 is an apocalyptic number.

It is an amenable number.

212314415142401 is a deficient number, since it is larger than the sum of its proper divisors (38410300217599).

212314415142401 is a wasteful number, since it uses less digits than its factorization.

212314415142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692830216.

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 212314415142401 its reverse (104241514413212), we get a palindrome (316555929555613).

The spelling of 212314415142401 in words is "two hundred twelve trillion, three hundred fourteen billion, four hundred fifteen million, one hundred forty-two thousand, four hundred one".

Divisors: 1 11 13 143 193 2123 2509 27599 7692829999 84621129989 100006789987 1100074689857 1484716189807 16331878087877 19301310467491 212314415142401