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21331322144 = 251179767093
BaseRepresentation
bin10011110111011100…
…100010010100100000
32001001121122102220022
4103313130202110200
5322141304302034
613444404133012
71353416150366
oct236734422440
961047572808
1021331322144
119056a80060
124173997168
13201c45b612
14106503b636
1584ca96b2e
hex4f7722520

21331322144 has 48 divisors (see below), whose sum is σ = 46393845120. Its totient is φ = 9573308160.

The previous prime is 21331322143. The next prime is 21331322179. The reversal of 21331322144 is 44122313312.

It is a super-2 number, since 2×213313221442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21331322143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355739 + ... + 411354.

It is an arithmetic number, because the mean of its divisors is an integer number (966538440).

Almost surely, 221331322144 is an apocalyptic number.

It is an amenable number.

21331322144 is an abundant number, since it is smaller than the sum of its proper divisors (25062522976).

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

21331322144 is a wasteful number, since it uses less digits than its factorization.

21331322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767193 (or 767185 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 21331322144 its reverse (44122313312), we get a palindrome (65453635456).

The spelling of 21331322144 in words is "twenty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 13904 27808 767093 1534186 3068372 6136744 8438023 12273488 16876046 24546976 33752092 60600347 67504184 121200694 135008368 242401388 270016736 484802776 666603817 969605552 1333207634 1939211104 2666415268 5332830536 10665661072 21331322144