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10151305013 = 17976156037
BaseRepresentation
bin10010111010001000…
…01001111100110101
3222012110110201120202
421131010021330311
5131242213230023
64355145410245
7506362445303
oct113504117465
928173421522
1010151305013
11433a168783
121b73799985
13c5a155375
146c42ab273
153e62e9128
hex25d109f35

10151305013 has 8 divisors (see below), whose sum is σ = 10859251032. Its totient is φ = 9455671296.

The previous prime is 10151304997. The next prime is 10151305033. The reversal of 10151305013 is 31050315101.

10151305013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6200302564 + 3951002449 = 78742^2 + 62857^2 .

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 10151305013 - 24 = 10151304997 is a prime.

It is a super-3 number, since 3×101513050133 (a number of 31 digits) contains 333 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 (10151305033) 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, 3076370 + ... + 3079667.

It is an arithmetic number, because the mean of its divisors is an integer number (1357406379).

Almost surely, 210151305013 is an apocalyptic number.

It is an amenable number.

10151305013 is a deficient number, since it is larger than the sum of its proper divisors (707946019).

10151305013 is an equidigital number, since it uses as much as digits as its factorization.

10151305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156151.

The product of its (nonzero) digits is 225, while the sum is 20.

The spelling of 10151305013 in words is "ten billion, one hundred fifty-one million, three hundred five thousand, thirteen".

Divisors: 1 17 97 1649 6156037 104652629 597135589 10151305013