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10240249501 = 113293309289
BaseRepresentation
bin10011000100101110…
…11100111010011101
3222102122211120111001
421202113130322131
5131433000441001
64412044030301
7511522453546
oct114227347235
928378746431
1010240249501
114385399019
121b99532391
13c726c7a41
146d20214cd
153ee018001
hex2625dce9d

10240249501 has 8 divisors (see below), whose sum is σ = 10366163640. Its totient is φ = 10114954752.

The previous prime is 10240249457. The next prime is 10240249507. The reversal of 10240249501 is 10594204201.

It can be written as a sum of positive squares in 4 ways, for example, as 2296805625 + 7943443876 = 47925^2 + 89126^2 .

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 10240249501 - 217 = 10240118429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10240249501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240249507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121536 + ... + 187753.

It is an arithmetic number, because the mean of its divisors is an integer number (1295770455).

Almost surely, 210240249501 is an apocalyptic number.

It is an amenable number.

10240249501 is a deficient number, since it is larger than the sum of its proper divisors (125914139).

10240249501 is a wasteful number, since it uses less digits than its factorization.

10240249501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309695.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 10240249501 in words is "ten billion, two hundred forty million, two hundred forty-nine thousand, five hundred one".

Divisors: 1 113 293 33109 309289 34949657 90621677 10240249501