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10151141320 = 2351714928149
BaseRepresentation
bin10010111010000111…
…00001111111001000
3222012110011102001001
421131003201333020
5131242143010240
64355142104344
7506361164125
oct113503417710
928173142031
1010151141320
11433a0667a1
121b7371b0b4
13c5a0c89c8
146c426774c
153e62b589a
hex25d0e1fc8

10151141320 has 32 divisors (see below), whose sum is σ = 24183603000. Its totient is φ = 3821605888.

The previous prime is 10151141311. The next prime is 10151141323. The reversal of 10151141320 is 2314115101.

10151141320 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 8108282116 + 2042859204 = 90046^2 + 45198^2 .

It is a super-2 number, since 2×101511413202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10151141323) 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, 7463395 + ... + 7464754.

Almost surely, 210151141320 is an apocalyptic number.

10151141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151141320 is an abundant number, since it is smaller than the sum of its proper divisors (14032461680).

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

10151141320 is a wasteful number, since it uses less digits than its factorization.

10151141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14928177 (or 14928173 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10151141320 its reverse (2314115101), we get a palindrome (12465256421).

The spelling of 10151141320 in words is "ten billion, one hundred fifty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14928149 29856298 59712596 74640745 119425192 149281490 253778533 298562980 507557066 597125960 1015114132 1268892665 2030228264 2537785330 5075570660 10151141320