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2131131444 = 2231367203897
BaseRepresentation
bin111111100000110…
…0111110000110100
312111112002200202020
41333001213300310
513331032201234
6551245313140
7103545214131
oct17701476064
95445080666
102131131444
119a3a71662
124b58657b0
1327c69ab30
14163071588
15c7166549
hex7f067c34

2131131444 has 48 divisors (see below), whose sum is σ = 5435105088. Its totient is φ = 645942528.

The previous prime is 2131131437. The next prime is 2131131451. The reversal of 2131131444 is 4441311312.

It is an interprime number because it is at equal distance from previous prime (2131131437) and next prime (2131131451).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91497 + ... + 112400.

It is an arithmetic number, because the mean of its divisors is an integer number (113231356).

Almost surely, 22131131444 is an apocalyptic number.

It is an amenable number.

2131131444 is an abundant number, since it is smaller than the sum of its proper divisors (3303973644).

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

2131131444 is a wasteful number, since it uses less digits than its factorization.

2131131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203984 (or 203982 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2131131444 is about 46164.1792302213. The cubic root of 2131131444 is about 1286.8761310152.

Adding to 2131131444 its reverse (4441311312), we get a palindrome (6572442756).

The spelling of 2131131444 in words is "two billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 5226 10452 203897 407794 611691 815588 1223382 2446764 2650661 5301322 7951983 10602644 13661099 15903966 27322198 31807932 40983297 54644396 81966594 163933188 177594287 355188574 532782861 710377148 1065565722 2131131444