Search a number
-
+
10111540420 = 225782364627
BaseRepresentation
bin10010110101011000…
…11101110011000100
3222002200122110211001
421122230131303010
5131202023243140
64351205223044
7505400450452
oct113254356304
928080573731
1010111540420
114319778a83
121b62401a84
13c51b41a17
146bccb99d2
153e2a91e9a
hex25ab1dcc4

10111540420 has 24 divisors (see below), whose sum is σ = 21237277824. Its totient is φ = 4044036576.

The previous prime is 10111540409. The next prime is 10111540421. The reversal of 10111540420 is 2404511101.

10111540420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10111540421) 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, 124147 + ... + 188773.

It is an arithmetic number, because the mean of its divisors is an integer number (884886576).

Almost surely, 210111540420 is an apocalyptic number.

10111540420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111540420 is an abundant number, since it is smaller than the sum of its proper divisors (11125737404).

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

10111540420 is a wasteful number, since it uses less digits than its factorization.

10111540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72459 (or 72457 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The spelling of 10111540420 in words is "ten billion, one hundred eleven million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 7823 15646 31292 39115 64627 78230 129254 156460 258508 323135 646270 1292540 505577021 1011154042 2022308084 2527885105 5055770210 10111540420