Search a number
-
+
1053004331 = 231311372551
BaseRepresentation
bin111110110000111…
…001001000101011
32201101102011101102
4332300321020223
54124032114311
6252253312015
735044250321
oct7660711053
92641364342
101053004331
114a0436815
1225479560b
1313a207bb2
149dbc7d11
15626a143b
hex3ec3922b

1053004331 has 16 divisors (see below), whose sum is σ = 1115693568. Its totient is φ = 991848000.

The previous prime is 1053004313. The next prime is 1053004343. The reversal of 1053004331 is 1334003501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053004331 is a prime.

It is a super-2 number, since 2×10530043312 = 2217636242209515122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053004391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411506 + ... + 414056.

It is an arithmetic number, because the mean of its divisors is an integer number (69730848).

Almost surely, 21053004331 is an apocalyptic number.

1053004331 is a deficient number, since it is larger than the sum of its proper divisors (62689237).

1053004331 is a wasteful number, since it uses less digits than its factorization.

1053004331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1053004331 is about 32450.0282126226. The cubic root of 1053004331 is about 1017.3648277111.

Adding to 1053004331 its reverse (1334003501), we get a palindrome (2387007832).

The spelling of 1053004331 in words is "one billion, fifty-three million, four thousand, three hundred thirty-one".

Divisors: 1 23 131 137 2551 3013 3151 17947 58673 334181 349487 412781 7686163 8038201 45782797 1053004331