Search a number
-
+
22131221352120 = 23325145342309439
BaseRepresentation
bin1010000100000110100111…
…00101100100111010111000
32220100201112212102201101100
411002003103211210322320
510400044220131231440
6115022535344051400
74442633203432446
oct502032345447270
986321485381340
1022131221352120
117062886547971
122595219303b60
13c46c7177ba9a
1456722a4a3b96
15285a3d02e230
hex1420d3964eb8

22131221352120 has 96 divisors (see below), whose sum is σ = 71975973139200. Its totient is φ = 5897597181696.

The previous prime is 22131221352103. The next prime is 22131221352127. The reversal of 22131221352120 is 2125312213122.

22131221352120 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 122 + 13 + 521 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131221352127) 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, 20631640 + ... + 21677799.

It is an arithmetic number, because the mean of its divisors is an integer number (749749720200).

Almost surely, 222131221352120 is an apocalyptic number.

22131221352120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131221352120 is an abundant number, since it is smaller than the sum of its proper divisors (49844751787080).

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

22131221352120 is a wasteful number, since it uses less digits than its factorization.

22131221352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42310909 (or 42310902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22131221352120 its reverse (2125312213122), we get a palindrome (24256533565242).

The spelling of 22131221352120 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1453 2906 4359 5812 7265 8718 11624 13077 14530 17436 21795 26154 29060 34872 43590 52308 58120 65385 87180 104616 130770 174360 261540 523080 42309439 84618878 126928317 169237756 211547195 253856634 338475512 380784951 423094390 507713268 634641585 761569902 846188780 1015426536 1269283170 1523139804 1692377560 1903924755 2538566340 3046279608 3807849510 5077132680 7615699020 15231398040 61475614867 122951229734 184426844601 245902459468 307378074335 368853689202 491804918936 553280533803 614756148670 737707378404 922134223005 1106561067606 1229512297340 1475414756808 1844268446010 2213122135212 2459024594680 2766402669015 3688536892020 4426244270424 5532805338030 7377073784040 11065610676060 22131221352120