Search a number
-
+
1057213157 = 7111310110457
BaseRepresentation
bin111111000000111…
…100101011100101
32201200022222210212
4333000330223211
54131121310112
6252523425205
735125110050
oct7700745345
92650288725
101057213157
114a2850990
12256085205
1313b04c820
14a05a1a97
1562c33522
hex3f03cae5

1057213157 has 32 divisors (see below), whose sum is σ = 1433666304. Its totient is φ = 752832000.

The previous prime is 1057213141. The next prime is 1057213163. The reversal of 1057213157 is 7513127501.

It is a cyclic number.

It is not a de Polignac number, because 1057213157 - 24 = 1057213141 is a prime.

It is a super-2 number, since 2×10572131572 = 2235399318667813298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057213117) 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 31 ways as a sum of consecutive naturals, for example, 95873 + ... + 106329.

It is an arithmetic number, because the mean of its divisors is an integer number (44802072).

Almost surely, 21057213157 is an apocalyptic number.

It is an amenable number.

1057213157 is a deficient number, since it is larger than the sum of its proper divisors (376453147).

1057213157 is a wasteful number, since it uses less digits than its factorization.

1057213157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1057213157 is about 32514.8144235824. The cubic root of 1057213157 is about 1018.7184844680.

The spelling of 1057213157 in words is "one billion, fifty-seven million, two hundred thirteen thousand, one hundred fifty-seven".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 7777 9191 10457 14443 73199 101101 115027 135941 805189 951587 1056157 1495351 7393099 10467457 11617727 13730041 81324089 96110287 151030451 1057213157