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10359800157 = 37310067833
BaseRepresentation
bin10011010010111111…
…00000000101011101
3222201222210101011010
421221133200011131
5132204102101112
64431554245433
7514503564000
oct115137400535
928658711133
1010359800157
114436923213
122011586879
13c913c5285
14703c61537
1540978063c
hex2697e015d

10359800157 has 16 divisors (see below), whose sum is σ = 16108534400. Its totient is φ = 5919885216.

The previous prime is 10359800117. The next prime is 10359800159. The reversal of 10359800157 is 75100895301.

10359800157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10359800157 - 219 = 10359275869 is a prime.

It is a super-3 number, since 3×103598001573 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10359800159) 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 15 ways as a sum of consecutive naturals, for example, 5032888 + ... + 5034945.

It is an arithmetic number, because the mean of its divisors is an integer number (1006783400).

Almost surely, 210359800157 is an apocalyptic number.

It is an amenable number.

10359800157 is a deficient number, since it is larger than the sum of its proper divisors (5748734243).

10359800157 is an equidigital number, since it uses as much as digits as its factorization.

10359800157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067857 (or 10067843 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 10359800157 in words is "ten billion, three hundred fifty-nine million, eight hundred thousand, one hundred fifty-seven".

Divisors: 1 3 7 21 49 147 343 1029 10067833 30203499 70474831 211424493 493323817 1479971451 3453266719 10359800157