Search a number
-
+
31130031310120 = 2351787615225369
BaseRepresentation
bin1110001010000000001100…
…11101010100010100101000
311002020000001101222011000001
413011000012131110110220
513040013301003410440
6150112534451552344
76362033124135601
oct705000635242450
9132200041864001
1031130031310120
119a12199130906
1235a92605bb6b4
13144a71ac229c2
147989b70ccda8
1538eb6bedab9a
hex1c5006754528

31130031310120 has 64 divisors (see below), whose sum is σ = 74171200942800. Its totient is φ = 11718201262080.

The previous prime is 31130031310097. The next prime is 31130031310141. The reversal of 31130031310120 is 2101313003113.

It can be written as a sum of positive squares in 8 ways, for example, as 7462370646756 + 23667660663364 = 2731734^2 + 4864942^2 .

It is a super-2 number, since 2×311300313101202 (a number of 28 digits) contains 22 as substring.

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, 3344796 + ... + 8570164.

Almost surely, 231130031310120 is an apocalyptic number.

It is an amenable number.

31130031310120 is an abundant number, since it is smaller than the sum of its proper divisors (43041169632680).

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

31130031310120 is a wasteful number, since it uses less digits than its factorization.

31130031310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234158 (or 5234154 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31130031310120 its reverse (2101313003113), we get a palindrome (33231344313233).

The spelling of 31130031310120 in words is "thirty-one trillion, one hundred thirty billion, thirty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 8761 17522 35044 43805 70088 87610 148937 175220 297874 350440 595748 744685 1191496 1489370 2978740 5225369 5957480 10450738 20901476 26126845 41802952 52253690 88831273 104507380 177662546 209014760 355325092 444156365 710650184 888312730 1776625460 3553250920 45779457809 91558915618 183117831236 228897289045 366235662472 457794578090 778250782753 915589156180 1556501565506 1831178312360 3113003131012 3891253913765 6226006262024 7782507827530 15565015655060 31130031310120