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22135323152345 = 5132412633477001
BaseRepresentation
bin1010000100001110010000…
…00100101100111111011001
32220101010010201200202111012
411002013020010230333121
510400131120211333340
6115024454351543305
74443136641236624
oct502071004547731
986333121622435
1022135323152345
1170645a0942107
122595b82b2ab35
13c474764c4500
145674d9156dbb
15285bcd1b2565
hex1421c812cfd9

22135323152345 has 96 divisors (see below), whose sum is σ = 29665857602304. Its totient is φ = 15838717440000.

The previous prime is 22135323152317. The next prime is 22135323152357. The reversal of 22135323152345 is 54325132353122.

It is not a de Polignac number, because 22135323152345 - 224 = 22135306375129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3161733845 + ... + 3161740845.

It is an arithmetic number, because the mean of its divisors is an integer number (309019350024).

Almost surely, 222135323152345 is an apocalyptic number.

It is an amenable number.

22135323152345 is a deficient number, since it is larger than the sum of its proper divisors (7530534449959).

22135323152345 is a wasteful number, since it uses less digits than its factorization.

22135323152345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7670 counting only the distinct ones).

The product of its digits is 648000, while the sum is 41.

The spelling of 22135323152345 in words is "twenty-two trillion, one hundred thirty-five billion, three hundred twenty-three million, one hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 5 13 41 65 169 205 263 347 533 845 1315 1735 2665 3419 4511 6929 7001 10783 14227 17095 22555 34645 35005 44447 53915 58643 71135 91013 91261 140179 184951 222235 287041 293215 455065 456305 700895 924755 1183169 1186393 1435205 1822327 1841263 2404363 2429347 3731533 3741701 5915845 5931965 9111635 9206315 12021815 12146735 15423109 18657665 18708505 23936419 31581511 48509929 48642113 75491783 77115545 99603227 119682095 157907555 242549645 243210565 311173447 377458915 410559643 498016135 632347469 638918261 981393179 1294841951 1555867235 2052798215 3161737345 3194591305 4906965895 6474209755 8305937393 12758111327 16832945363 26195648701 41529686965 63790556635 84164726815 107977186109 130978243505 340543433113 539885930545 1702717165565 4427064630469 22135323152345