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21313220311332 = 22322516133847799
BaseRepresentation
bin1001101100010010111101…
…11011001111100100100100
32210110112010222011100200100
410312021132323033210210
510243143433344430312
6113155054102544100
74326554316342105
oct466113673174444
983415128140610
1021313220311332
11687798225a864
12248278a438030
13bb7a9c2c91b1
145397cb5203ac
1526e61472a5dc
hex13625eecf924

21313220311332 has 72 divisors (see below), whose sum is σ = 54177978254400. Its totient is φ = 7064557128000.

The previous prime is 21313220311247. The next prime is 21313220311333. The reversal of 21313220311332 is 23311302231312.

21313220311332 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 322 + 0 + 3 + 1 + 1 + 332 = 666.

It is a super-2 number, since 2×213132203113322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21313220311296 and 21313220311305.

It is not an unprimeable number, because it can be changed into a prime (21313220311333) 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, 3615169 + ... + 7462967.

It is an arithmetic number, because the mean of its divisors is an integer number (752471920200).

Almost surely, 221313220311332 is an apocalyptic number.

It is an amenable number.

21313220311332 is an abundant number, since it is smaller than the sum of its proper divisors (32864757943068).

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

21313220311332 is a wasteful number, since it uses less digits than its factorization.

21313220311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848673 (or 3848668 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21313220311332 its reverse (23311302231312), we get a palindrome (44624522542644).

The spelling of 21313220311332 in words is "twenty-one trillion, three hundred thirteen billion, two hundred twenty million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 613 753 1004 1226 1506 1839 2259 2452 3012 3678 4518 5517 7356 9036 11034 22068 153863 307726 461589 615452 923178 1384767 1846356 2769534 3847799 5539068 7695598 11543397 15391196 23086794 34630191 46173588 69260382 138520764 965797549 1931595098 2358700787 2897392647 3863190196 4717401574 5794785294 7076102361 8692177941 9434803148 11589570588 14152204722 17384355882 21228307083 28304409444 34768711764 42456614166 84913228332 592033897537 1184067795074 1776101692611 2368135590148 3552203385222 5328305077833 7104406770444 10656610155666 21313220311332