Search a number
-
+
3011000157 = 321130414143
BaseRepresentation
bin1011001101111000…
…0011011101011101
321202211201122201100
42303132003131131
522131304001112
61214440103313
7134421036054
oct26336033535
97684648640
103011000157
1113056a3a90
12700464b39
1338ca663c9
14207c6b39b
151295182dc
hexb378375d

3011000157 has 12 divisors (see below), whose sum is σ = 4744606464. Its totient is φ = 1824848520.

The previous prime is 3011000093. The next prime is 3011000177. The reversal of 3011000157 is 7510001103.

It is a happy number.

It is not a de Polignac number, because 3011000157 - 26 = 3011000093 is a prime.

It is a super-2 number, since 2×30110001572 = 18132243890908049298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011000177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15206973 + ... + 15207170.

It is an arithmetic number, because the mean of its divisors is an integer number (395383872).

Almost surely, 23011000157 is an apocalyptic number.

It is an amenable number.

3011000157 is a deficient number, since it is larger than the sum of its proper divisors (1733606307).

3011000157 is a wasteful number, since it uses less digits than its factorization.

3011000157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30414160 (or 30414157 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 3011000157 is about 54872.5811038628. The cubic root of 3011000157 is about 1444.0101947866.

The spelling of 3011000157 in words is "three billion, eleven million, one hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 30414143 91242429 273727287 334555573 1003666719 3011000157