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22131221352128 = 26779625317059
BaseRepresentation
bin1010000100000110100111…
…00101100100111011000000
32220100201112212102201101122
411002003103211210323000
510400044220131232003
6115022535344051412
74442633203432460
oct502032345447300
986321485381348
1022131221352128
117062886547979
122595219303b68
13c46c7177baa5
1456722a4a3ba0
15285a3d02e238
hex1420d3964ec0

22131221352128 has 56 divisors (see below), whose sum is σ = 50825770636800. Its totient is φ = 9364748260608.

The previous prime is 22131221352127. The next prime is 22131221352131. The reversal of 22131221352128 is 82125312213122.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 312623138 + ... + 312693921.

Almost surely, 222131221352128 is an apocalyptic number.

22131221352128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22131221352128 is an abundant number, since it is smaller than the sum of its proper divisors (28694549284672).

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

22131221352128 is an equidigital number, since it uses as much as digits as its factorization.

22131221352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625317157 (or 625317147 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The spelling of 22131221352128 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 8848 17696 35392 625317059 1250634118 2501268236 4377219413 5002536472 8754438826 10005072944 17508877652 20010145888 35017755304 40020291776 49400047661 70035510608 98800095322 140071021216 197600190644 280142042432 345800333627 395200381288 691600667254 790400762576 1383201334508 1580801525152 2766402669016 3161603050304 5532805338032 11065610676064 22131221352128