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153131130 = 232510316519
BaseRepresentation
bin10010010000010…
…01100001111010
3101200010212102100
421020021201322
5303200144010
623110044230
73536410305
oct1110114172
9350125370
10153131130
1179490759
1243349676
1325957149
14164a1b3c
15d69c2c0
hex920987a

153131130 has 48 divisors (see below), whose sum is σ = 402030720. Its totient is φ = 40436064.

The previous prime is 153131129. The next prime is 153131141. The reversal of 153131130 is 31131351.

153131130 is a `hidden beast` number, since 1 + 531 + 3 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (8375640).

Almost surely, 2153131130 is an apocalyptic number.

153131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201015360).

153131130 is an abundant number, since it is smaller than the sum of its proper divisors (248899590).

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

153131130 is a wasteful number, since it uses less digits than its factorization.

153131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16632 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153131130 is about 12374.6163576896. The cubic root of 153131130 is about 535.0008792602. Note that the first 3 decimals are identical.

Adding to 153131130 its reverse (31131351), we get a palindrome (184262481).

The spelling of 153131130 in words is "one hundred fifty-three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 16519 33038 49557 82595 99114 148671 165190 247785 297342 495570 743355 1486710 1701457 3402914 5104371 8507285 10208742 15313113 17014570 25521855 30626226 51043710 76565565 153131130