Search a number
-
+
212231123312013 = 33131374413482299
BaseRepresentation
bin110000010000010111101000…
…101101110001110110001101
31000211110002121212222220122000
4300100113220231301312031
5210304143320031441023
62031213344310142513
762463123040141161
oct6020275055616615
91024402555886560
10212231123312013
116169479428a313
121b977991951a39
139156402cb6490
143a5a080db8ca1
15198094299b243
hexc105e8b71d8d

212231123312013 has 32 divisors (see below), whose sum is σ = 341073912144000. Its totient is φ = 129650455986048.

The previous prime is 212231123312009. The next prime is 212231123312071. The reversal of 212231123312013 is 310213321132212.

212231123312013 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 311 + 2 + 331 + 2 + 0 + 13 = 666.

It is not a de Polignac number, because 212231123312013 - 22 = 212231123312009 is a prime.

It is a super-2 number, since 2×2122311233120132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212231123312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206693063 + ... + 2206789236.

It is an arithmetic number, because the mean of its divisors is an integer number (10658559754500).

Almost surely, 2212231123312013 is an apocalyptic number.

It is an amenable number.

212231123312013 is a deficient number, since it is larger than the sum of its proper divisors (128842788831987).

212231123312013 is a wasteful number, since it uses less digits than its factorization.

212231123312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413482458 (or 4413482452 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212231123312013 its reverse (310213321132212), we get a palindrome (522444444444225).

The spelling of 212231123312013 in words is "two hundred twelve trillion, two hundred thirty-one billion, one hundred twenty-three million, three hundred twelve thousand, thirteen".

Divisors: 1 3 9 13 27 39 117 137 351 411 1233 1781 3699 5343 16029 48087 4413482299 13240446897 39721340691 57375269887 119164022073 172125809661 516377428983 604647074963 1549132286949 1813941224889 5441823674667 7860411974519 16325471024001 23581235923557 70743707770671 212231123312013