Search a number
-
+
10540501312 = 261114972303
BaseRepresentation
bin10011101000100001…
…10100100101000000
31000012120210221112111
421310100310211000
5133041332020222
64501531305104
7522126532345
oct116420644500
930176727474
1010540501312
114519924710
122061bab194
13cbc983333
1471dc5c7cc
1541a576777
hex274434940

10540501312 has 28 divisors (see below), whose sum is σ = 22817791296. Its totient is φ = 4791136640.

The previous prime is 10540501303. The next prime is 10540501319. The reversal of 10540501312 is 21310504501.

It is a happy number.

It is a super-2 number, since 2×105405013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540501319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7485448 + ... + 7486855.

Almost surely, 210540501312 is an apocalyptic number.

It is an amenable number.

10540501312 is an abundant number, since it is smaller than the sum of its proper divisors (12277289984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10540501312 is a wasteful number, since it uses less digits than its factorization.

10540501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14972326 (or 14972316 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 10540501312 in words is "ten billion, five hundred forty million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 14972303 29944606 59889212 119778424 164695333 239556848 329390666 479113696 658781332 958227392 1317562664 2635125328 5270250656 10540501312