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22121002230132 = 22313712710973673
BaseRepresentation
bin1010000011110011100100…
…11110101110000101110100
32220022202011200100112101210
411001321302132232011310
510344412303032331012
6115014125332521420
74442122025352051
oct501716236560564
986282150315353
1022121002230132
11705951207a303
122593246a80270
13c46003570740
1456693b1c2028
15285640cdb23c
hex141e727ae174

22121002230132 has 96 divisors (see below), whose sum is σ = 56371855599360. Its totient is φ = 6710257935360.

The previous prime is 22121002230101. The next prime is 22121002230137. The reversal of 22121002230132 is 23103220012122.

It is a junction number, because it is equal to n+sod(n) for n = 22121002230099 and 22121002230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121002230137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300222448 + ... + 300296120.

It is an arithmetic number, because the mean of its divisors is an integer number (587206829160).

Almost surely, 222121002230132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121002230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185927799680).

22121002230132 is an abundant number, since it is smaller than the sum of its proper divisors (34250853369228).

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

22121002230132 is a wasteful number, since it uses less digits than its factorization.

22121002230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100873 (or 100871 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22121002230132 its reverse (23103220012122), we get a palindrome (45224222242254).

The spelling of 22121002230132 in words is "twenty-two trillion, one hundred twenty-one billion, two million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 27109 54218 73673 81327 108436 147346 162654 221019 294692 325308 352417 442038 704834 884076 957749 1057251 1409668 1915498 1924739 2114502 2873247 3830996 3849478 4229004 5230783 5746494 5774217 7698956 10461566 11492988 11548434 15692349 20923132 23096868 25021607 31384698 50043214 62769396 68000179 75064821 100086428 136000358 150129642 204000537 272000716 300259284 408001074 816002148 1997201357 3994402714 5991604071 7988805428 11983208142 23966416284 25963617641 51927235282 77890852923 103854470564 141801296347 155781705846 283602592694 311563411692 425403889041 567205185388 850807778082 1701615556164 1843416852511 3686833705022 5530250557533 7373667410044 11060501115066 22121002230132