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10137200011 = 171009590987
BaseRepresentation
bin10010111000011100…
…10110010110001011
3222011110221010011021
421130032112112023
5131230110400021
64353523213311
7506131530661
oct113416262613
928143833137
1010137200011
114332204454
121b6ab17237
13c57257203
146c2478c31
153e4e5ec41
hex25c39658b

10137200011 has 8 divisors (see below), whose sum is σ = 10744161840. Its totient is φ = 9531422208.

The previous prime is 10137199987. The next prime is 10137200069. The reversal of 10137200011 is 11000273101.

10137200011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10137200011 - 231 = 7989716363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10137200611) 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, 278341 + ... + 312646.

It is an arithmetic number, because the mean of its divisors is an integer number (1343020230).

Almost surely, 210137200011 is an apocalyptic number.

10137200011 is a deficient number, since it is larger than the sum of its proper divisors (606961829).

10137200011 is a wasteful number, since it uses less digits than its factorization.

10137200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592013.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10137200011 its reverse (11000273101), we get a palindrome (21137473112).

The spelling of 10137200011 in words is "ten billion, one hundred thirty-seven million, two hundred thousand, eleven".

Divisors: 1 17 1009 17153 590987 10046779 596305883 10137200011