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10315152133 = 1113315939439
BaseRepresentation
bin10011001101101010…
…01011101100000101
3222121212210000120121
421212311023230011
5132111134332013
64423321301541
7513422226556
oct114665135405
928555700517
1010315152133
1144136a8520
121bba6348b1
13c85091c20
146dbd5c32d
154058b158d
hex266d4bb05

10315152133 has 32 divisors (see below), whose sum is σ = 12721766400. Its totient is φ = 8234654400.

The previous prime is 10315152131. The next prime is 10315152139. The reversal of 10315152133 is 33125151301.

10315152133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10315152133 - 21 = 10315152131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10315152098 and 10315152107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315152131) 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 31 ways as a sum of consecutive naturals, for example, 241828 + ... + 281266.

It is an arithmetic number, because the mean of its divisors is an integer number (397555200).

Almost surely, 210315152133 is an apocalyptic number.

10315152133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10315152133 is a deficient number, since it is larger than the sum of its proper divisors (2406614267).

10315152133 is a wasteful number, since it uses less digits than its factorization.

10315152133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39553.

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 10315152133 in words is "ten billion, three hundred fifteen million, one hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 11 13 31 59 143 341 403 649 767 1829 4433 8437 20119 23777 39439 261547 433829 512707 1222609 2326901 5639777 13448699 15893917 25595911 30249713 72133931 174833087 332746843 793473241 937741103 10315152133