Search a number
-
+
13101121031022 = 2324167264958157
BaseRepresentation
bin1011111010100101011110…
…1010100100101101101110
31201101110021122120010222200
42332221113222210231232
53204122043440443042
643510323311122330
72521344664235043
oct276512752445556
951343248503880
1013101121031022
1141a1177305012
121577102b133a6
1374057980030b
14334151cdb1ca
1517abcc00dc4c
hexbea57aa4b6e

13101121031022 has 48 divisors (see below), whose sum is σ = 29512099470672. Its totient is φ = 4196937191040.

The previous prime is 13101121031021. The next prime is 13101121031039. The reversal of 13101121031022 is 22013012110131.

13101121031022 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 21 + 0 + 310 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13101121030986 and 13101121031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101121031021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132429633 + ... + 132528524.

It is an arithmetic number, because the mean of its divisors is an integer number (614835405639).

Almost surely, 213101121031022 is an apocalyptic number.

13101121031022 is an abundant number, since it is smaller than the sum of its proper divisors (16410978439650).

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

13101121031022 is a wasteful number, since it uses less digits than its factorization.

13101121031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264958273 (or 264958270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101121031022 its reverse (22013012110131), we get a palindrome (35114133141153).

The spelling of 13101121031022 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 41 67 82 123 134 201 246 369 402 603 738 1206 2747 5494 8241 16482 24723 49446 264958157 529916314 794874471 1589748942 2384623413 4769246826 10863284437 17752196519 21726568874 32589853311 35504393038 53256589557 65179706622 97769559933 106513179114 159769768671 195539119866 319539537342 727840057279 1455680114558 2183520171837 4367040343674 6550560515511 13101121031022