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201412120013 = 1343615906687
BaseRepresentation
bin1011101110010100011…
…0010000110111001101
3201020212202102210222122
42323211012100313031
511244443000320023
6232305532422325
720360115525656
oct2734506206715
9636782383878
10201412120013
1178466988935
12330506179a5
1315cbaa52450
149a6986a52d
15538c4102c8
hex2ee5190dcd

201412120013 has 16 divisors (see below), whose sum is σ = 225588228096. Its totient is φ = 178618184640.

The previous prime is 201412120009. The next prime is 201412120027. The reversal of 201412120013 is 310021214102.

It is a cyclic number.

It is not a de Polignac number, because 201412120013 - 22 = 201412120009 is a prime.

It is a super-2 number, since 2×2014121200132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201412119973 and 201412120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201412120003) 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, 2919245 + ... + 2987442.

It is an arithmetic number, because the mean of its divisors is an integer number (14099264256).

Almost surely, 2201412120013 is an apocalyptic number.

It is an amenable number.

201412120013 is a deficient number, since it is larger than the sum of its proper divisors (24176108083).

201412120013 is a wasteful number, since it uses less digits than its factorization.

201412120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906804.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201412120013 its reverse (310021214102), we get a palindrome (511433334115).

The spelling of 201412120013 in words is "two hundred one billion, four hundred twelve million, one hundred twenty thousand, thirteen".

Divisors: 1 13 43 61 559 793 2623 34099 5906687 76786931 253987541 360307907 3301838033 4684002791 15493240001 201412120013