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13002413214 = 237571754151
BaseRepresentation
bin11000001110000000…
…10001010010011110
31020120011100000202210
430013000101102132
5203112104210324
65550114501250
7640132455150
oct140700212236
936504300683
1013002413214
11557258354a
12262a594826
1312c2a3823b
148b4bd6ad0
1551177bd29
hex30701149e

13002413214 has 32 divisors (see below), whose sum is σ = 29725549056. Its totient is φ = 3714256800.

The previous prime is 13002413191. The next prime is 13002413219. The reversal of 13002413214 is 41231420031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002413219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213039 + ... + 267189.

It is an arithmetic number, because the mean of its divisors is an integer number (928923408).

Almost surely, 213002413214 is an apocalyptic number.

13002413214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13002413214 is an abundant number, since it is smaller than the sum of its proper divisors (16723135842).

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

13002413214 is a wasteful number, since it uses less digits than its factorization.

13002413214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59880.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13002413214 its reverse (41231420031), we get a palindrome (54233833245).

The spelling of 13002413214 in words is "thirteen billion, two million, four hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 5717 11434 17151 34302 40019 54151 80038 108302 120057 162453 240114 324906 379057 758114 1137171 2274342 309581267 619162534 928743801 1857487602 2167068869 4334137738 6501206607 13002413214