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212233144400013 = 31158811093573781
BaseRepresentation
bin110000010000011001100001…
…001011100111100010001101
31000211110021211202000211011010
4300100121201023213202031
5210304211434431300023
62031214321025115433
762463224111123052
oct6020314113474215
91024407752024133
10212233144400013
116169563111a680
121b978256788b79
139156665935239
143a5a1d35a3029
151980a10127093
hexc106612e788d

212233144400013 has 16 divisors (see below), whose sum is σ = 308755247314752. Its totient is φ = 128604276528000.

The previous prime is 212233144399933. The next prime is 212233144400051. The reversal of 212233144400013 is 310004441332212.

It is not a de Polignac number, because 212233144400013 - 29 = 212233144399501 is a prime.

It is a super-3 number, since 3×2122331444000133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233144400813) 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, 546592818 + ... + 546980963.

It is an arithmetic number, because the mean of its divisors is an integer number (19297202957172).

Almost surely, 2212233144400013 is an apocalyptic number.

It is an amenable number.

212233144400013 is a deficient number, since it is larger than the sum of its proper divisors (96522102914739).

212233144400013 is a wasteful number, since it uses less digits than its factorization.

212233144400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093579676.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 212233144400013 its reverse (310004441332212), we get a palindrome (522237585732225).

The spelling of 212233144400013 in words is "two hundred twelve trillion, two hundred thirty-three billion, one hundred forty-four million, four hundred thousand, thirteen".

Divisors: 1 3 11 33 5881 17643 64691 194073 1093573781 3280721343 12029311591 36087934773 6431307406061 19293922218183 70744381466671 212233144400013