Search a number
-
+
2131035144 = 233713999067
BaseRepresentation
bin111111100000101…
…0000010000001000
312111111220210122120
41333001100100020
513331021111034
6551243251240
7103544333310
oct17701202010
95444823576
102131035144
119a3a06277
124b5819b20
1327c666054
14163048440
15c7147c49
hex7f050408

2131035144 has 64 divisors (see below), whose sum is σ = 6093696000. Its totient is φ = 608364864.

The previous prime is 2131035073. The next prime is 2131035157. The reversal of 2131035144 is 4415301312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 230499 + ... + 239565.

It is an arithmetic number, because the mean of its divisors is an integer number (95214000).

Almost surely, 22131035144 is an apocalyptic number.

2131035144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131035144 is an abundant number, since it is smaller than the sum of its proper divisors (3962660856).

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

2131035144 is a wasteful number, since it uses less digits than its factorization.

2131035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2131035144 is about 46163.1362019523. The cubic root of 2131035144 is about 1286.8567472526.

Adding to 2131035144 its reverse (4415301312), we get a palindrome (6546336456).

The spelling of 2131035144 in words is "two billion, one hundred thirty-one million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1399 2798 4197 5596 8394 9067 9793 11192 16788 18134 19586 27201 29379 33576 36268 39172 54402 58758 63469 72536 78344 108804 117516 126938 190407 217608 235032 253876 380814 507752 761628 1523256 12684733 25369466 38054199 50738932 76108398 88793131 101477864 152216796 177586262 266379393 304433592 355172524 532758786 710345048 1065517572 2131035144