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10137443329 = 132161360853
BaseRepresentation
bin10010111000011110…
…10001110000000001
3222011111101110221001
421130033101300001
5131230141141304
64353532332001
7506133563236
oct113417216001
928144343831
1010137443329
114332360242
121b6b014001
13c57310ba0
146c24dd78d
153e4eabda4
hex25c3d1c01

10137443329 has 8 divisors (see below), whose sum is σ = 10922328872. Its totient is φ = 9353283840.

The previous prime is 10137443321. The next prime is 10137443339. The reversal of 10137443329 is 92334473101.

It can be written as a sum of positive squares in 4 ways, for example, as 2853162225 + 7284281104 = 53415^2 + 85348^2 .

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 10137443329 - 23 = 10137443321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10137443321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152334 + ... + 208519.

It is an arithmetic number, because the mean of its divisors is an integer number (1365291109).

Almost surely, 210137443329 is an apocalyptic number.

It is an amenable number.

10137443329 is a deficient number, since it is larger than the sum of its proper divisors (784885543).

10137443329 is a wasteful number, since it uses less digits than its factorization.

10137443329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363027.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 10137443329 in words is "ten billion, one hundred thirty-seven million, four hundred forty-three thousand, three hundred twenty-nine".

Divisors: 1 13 2161 28093 360853 4691089 779803333 10137443329