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10137364613 = 291221128627
BaseRepresentation
bin10010111000011101…
…11110100010000101
3222011111020110221122
421130032332202011
5131230131131423
64353530523325
7506133114605
oct113416764205
928144213848
1010137364613
114332307092
121b6ab96545
13c572b40cc
146c24bcc05
153e4e938c8
hex25c3be885

10137364613 has 8 divisors (see below), whose sum is σ = 10488154080. Its totient is φ = 9786656880.

The previous prime is 10137364607. The next prime is 10137364619. The reversal of 10137364613 is 31646373101.

It is a happy number.

10137364613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10137364607) and next prime (10137364619).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10137364613 - 212 = 10137360517 is a prime.

It is a super-2 number, since 2×101373646132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137364619) 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 7 ways as a sum of consecutive naturals, for example, 339806 + ... + 368432.

It is an arithmetic number, because the mean of its divisors is an integer number (1311019260).

Almost surely, 210137364613 is an apocalyptic number.

It is an amenable number.

10137364613 is a deficient number, since it is larger than the sum of its proper divisors (350789467).

10137364613 is a wasteful number, since it uses less digits than its factorization.

10137364613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40867.

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 10137364613 in words is "ten billion, one hundred thirty-seven million, three hundred sixty-four thousand, six hundred thirteen".

Divisors: 1 29 12211 28627 354119 830183 349564297 10137364613