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10012260114 = 2321657335689
BaseRepresentation
bin10010101001100011…
…01111011100010010
3221211202211111211200
421110301233130102
5131001114310424
64333301252030
7503053543503
oct112461573422
927752744750
1010012260114
11427872923a
121b35104016
13c373c098c
146ada34baa
153d8ed08c9
hex254c6f712

10012260114 has 24 divisors (see below), whose sum is σ = 21706386780. Its totient is φ = 3335395968.

The previous prime is 10012260101. The next prime is 10012260119. The reversal of 10012260114 is 41106221001.

10012260114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9218880225 + 793379889 = 96015^2 + 28167^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10012260119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138019 + ... + 197670.

Almost surely, 210012260114 is an apocalyptic number.

10012260114 is an abundant number, since it is smaller than the sum of its proper divisors (11694126666).

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

10012260114 is a wasteful number, since it uses less digits than its factorization.

10012260114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337354 (or 337351 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10012260114 its reverse (41106221001), we get a palindrome (51118481115).

The spelling of 10012260114 in words is "ten billion, twelve million, two hundred sixty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 1657 3314 4971 9942 14913 29826 335689 671378 1007067 2014134 3021201 6042402 556236673 1112473346 1668710019 3337420038 5006130057 10012260114