Search a number
-
+
31032013020 = 22359715135311
BaseRepresentation
bin11100111001101001…
…101111000011011100
32222002200012121002120
4130321221233003130
51002023143404040
622131135422540
72146000521111
oct347151570334
988080177076
1031032013020
1112184842758
126020684a50
132c071305a8
14170552a908
15c195307d0
hex739a6f0dc

31032013020 has 96 divisors (see below), whose sum is σ = 88369268736. Its totient is φ = 8135424000.

The previous prime is 31032013009. The next prime is 31032013069. The reversal of 31032013020 is 2031023013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861165 + ... + 896475.

It is an arithmetic number, because the mean of its divisors is an integer number (920513216).

Almost surely, 231032013020 is an apocalyptic number.

31032013020 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 31032013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44184634368).

31032013020 is an abundant number, since it is smaller than the sum of its proper divisors (57337255716).

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

31032013020 is a wasteful number, since it uses less digits than its factorization.

31032013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35571 (or 35569 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31032013020 its reverse (2031023013), we get a palindrome (33063036033).

The spelling of 31032013020 in words is "thirty-one billion, thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 151 194 291 302 388 453 485 582 604 755 906 970 1164 1455 1510 1812 1940 2265 2910 3020 4530 5820 9060 14647 29294 35311 43941 58588 70622 73235 87882 105933 141244 146470 175764 176555 211866 219705 292940 353110 423732 439410 529665 706220 878820 1059330 2118660 3425167 5331961 6850334 10275501 10663922 13700668 15995883 17125835 20551002 21327844 26659805 31991766 34251670 41102004 51377505 53319610 63983532 68503340 79979415 102755010 106639220 159958830 205510020 319917660 517200217 1034400434 1551600651 2068800868 2586001085 3103201302 5172002170 6206402604 7758003255 10344004340 15516006510 31032013020