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31130144430 = 23572111925179
BaseRepresentation
bin11100111111100000…
…000100111010101110
32222100111212012002020
4130333200010322232
51002223304110210
622145003011010
72151301601400
oct347740047256
988314765066
1031130144430
11122251782a0
126049509a66
132c2156b708
141714592b70
15c22e66770
hex73f804eae

31130144430 has 96 divisors (see below), whose sum is σ = 94811264640. Its totient is φ = 6468598080.

The previous prime is 31130144401. The next prime is 31130144431. The reversal of 31130144430 is 3444103113.

It is a self number, because there is not a number n which added to its sum of digits gives 31130144430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130144431) 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 47 ways as a sum of consecutive naturals, for example, 946420 + ... + 978759.

It is an arithmetic number, because the mean of its divisors is an integer number (987617340).

Almost surely, 231130144430 is an apocalyptic number.

31130144430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31130144430 is an abundant number, since it is smaller than the sum of its proper divisors (63681120210).

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

31130144430 is a wasteful number, since it uses less digits than its factorization.

31130144430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925214 (or 1925207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31130144430 its reverse (3444103113), we get a palindrome (34574247543).

The spelling of 31130144430 in words is "thirty-one billion, one hundred thirty million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 1925179 3850358 5775537 9625895 11551074 13476253 19251790 21176969 26952506 28877685 40428759 42353938 57755370 63530907 67381265 80857518 94333771 105884845 127061814 134762530 148238783 188667542 202143795 211769690 283001313 296477566 317654535 404287590 444716349 471668855 566002626 635309070 741193915 889432698 943337710 1037671481 1415006565 1482387830 2075342962 2223581745 2830013130 3113014443 4447163490 5188357405 6226028886 10376714810 15565072215 31130144430