Search a number
-
+
31057131180 = 22351275237793
BaseRepresentation
bin11100111011001001…
…100011011010101100
32222011102110201201210
4130323021203122230
51002101111144210
622133434034420
72146424154645
oct347311433254
988142421653
1031057131180
1112197a39369
126028b78a10
132c0c3b64ca
1417089c86cc
15c1b842e20
hex73b2636ac

31057131180 has 96 divisors (see below), whose sum is σ = 87823540224. Its totient is φ = 8199926784.

The previous prime is 31057131167. The next prime is 31057131191. The reversal of 31057131180 is 8113175013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3981364 + ... + 3989156.

It is an arithmetic number, because the mean of its divisors is an integer number (914828544).

Almost surely, 231057131180 is an apocalyptic number.

31057131180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31057131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911770112).

31057131180 is an abundant number, since it is smaller than the sum of its proper divisors (56766409044).

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

31057131180 is a wasteful number, since it uses less digits than its factorization.

31057131180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 31057131180 in words is "thirty-one billion, fifty-seven million, one hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 523 635 762 1046 1270 1524 1569 1905 2092 2540 2615 3138 3810 5230 6276 7620 7793 7845 10460 15586 15690 23379 31172 31380 38965 46758 66421 77930 93516 116895 132842 155860 199263 233790 265684 332105 398526 467580 664210 797052 989711 996315 1328420 1979422 1992630 2969133 3958844 3985260 4075739 4948555 5938266 8151478 9897110 11876532 12227217 14845665 16302956 19794220 20378695 24454434 29691330 40757390 48908868 59382660 61136085 81514780 122272170 244544340 517618853 1035237706 1552856559 2070475412 2588094265 3105713118 5176188530 6211426236 7764282795 10352377060 15528565590 31057131180