Search a number
-
+
10004131501 = 721315705073
BaseRepresentation
bin10010101000100101…
…01110111010101101
3221211012112112110221
421110102232322231
5130442024202001
64332411131341
7502624500100
oct112422567255
927735475427
1010004131501
114274087081
121b32443b51
13c35805b50
146ac91a737
153d84271a1
hex2544aeead

10004131501 has 12 divisors (see below), whose sum is σ = 12532649052. Its totient is φ = 7915356288.

The previous prime is 10004131483. The next prime is 10004131603. The reversal of 10004131501 is 10513140001.

It can be written as a sum of positive squares in 2 ways, for example, as 3169802601 + 6834328900 = 56301^2 + 82670^2 .

It is not a de Polignac number, because 10004131501 - 29 = 10004130989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004131801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7851900 + ... + 7853173.

It is an arithmetic number, because the mean of its divisors is an integer number (1044387421).

Almost surely, 210004131501 is an apocalyptic number.

It is an amenable number.

10004131501 is a deficient number, since it is larger than the sum of its proper divisors (2528517551).

10004131501 is a wasteful number, since it uses less digits than its factorization.

10004131501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705100 (or 15705093 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10004131501 its reverse (10513140001), we get a palindrome (20517271502).

The spelling of 10004131501 in words is "ten billion, four million, one hundred thirty-one thousand, five hundred one".

Divisors: 1 7 13 49 91 637 15705073 109935511 204165949 769548577 1429161643 10004131501