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114002001012 = 22341936736173
BaseRepresentation
bin110101000101100001…
…1000111110001110100
3101220020222212200200210
41222023003013301310
53331434003013022
6124212150305420
711144035006614
oct1521303076164
9356228780623
10114002001012
1144391180769
121a117058270
13a99a66c343
1457368d8a44
152e73615a0c
hex1a8b0c7c74

114002001012 has 48 divisors (see below), whose sum is σ = 266755325760. Its totient is φ = 37893512448.

The previous prime is 114002000941. The next prime is 114002001019. The reversal of 114002001012 is 210100200411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114002001019) 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, 18464758 + ... + 18470930.

It is an arithmetic number, because the mean of its divisors is an integer number (5557402620).

Almost surely, 2114002001012 is an apocalyptic number.

114002001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114002001012 is an abundant number, since it is smaller than the sum of its proper divisors (152753324748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114002001012 is a wasteful number, since it uses less digits than its factorization.

114002001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10272 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 114002001012 its reverse (210100200411), we get a palindrome (324102201423).

The spelling of 114002001012 in words is "one hundred fourteen billion, two million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 419 838 1257 1676 2514 3673 5028 6173 7346 11019 12346 14692 18519 22038 24692 37038 44076 74076 1538987 2586487 3077974 4616961 5172974 6155948 7759461 9233922 10345948 15518922 18467844 22673429 31037844 45346858 68020287 90693716 136040574 272081148 9500166751 19000333502 28500500253 38000667004 57001000506 114002001012