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22430131222135 = 57131783284312289
BaseRepresentation
bin1010001100110011011000…
…00000001111011001110111
32221102022002102002101220211
411012121230000033121313
510414443402043102020
6115412132100010251
74503344363420440
oct506315400173167
987368072071824
1022430131222135
11716862436039a
122623139690987
13c691c97a4360
145778a49162c7
1528d6d4b5685a
hex14666c00f677

22430131222135 has 128 divisors (see below), whose sum is σ = 35514241136640. Its totient is φ = 13195674648576.

The previous prime is 22430131222129. The next prime is 22430131222151. The reversal of 22430131222135 is 53122213103422.

It is a happy number.

It is not a de Polignac number, because 22430131222135 - 217 = 22430131091063 is a prime.

It is a super-2 number, since 2×224301312221352 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22430131222097 and 22430131222106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1825214071 + ... + 1825226359.

It is an arithmetic number, because the mean of its divisors is an integer number (277455008880).

Almost surely, 222430131222135 is an apocalyptic number.

22430131222135 is a deficient number, since it is larger than the sum of its proper divisors (13084109914505).

22430131222135 is a wasteful number, since it uses less digits than its factorization.

22430131222135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15257.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 22430131222135 its reverse (53122213103422), we get a palindrome (75552344325557).

The spelling of 22430131222135 in words is "twenty-two trillion, four hundred thirty billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 5 7 13 17 35 65 83 85 91 119 221 415 455 581 595 1079 1105 1411 1547 2843 2905 5395 7055 7553 7735 9877 12289 14215 18343 19901 36959 37765 48331 49385 61445 86023 91715 99505 128401 159757 184795 208913 235969 241655 258713 338317 430115 628303 642005 798785 1019987 1044565 1118299 1179845 1293565 1462391 1651783 1691585 2715869 3067597 3141515 4011473 4398121 5099935 5591495 7139909 7311955 8258915 13259831 13579345 15337985 17339779 19011083 20057365 21473179 21990605 28080311 34937627 35699545 52149149 66299155 86698895 92818817 95055415 107365895 121378453 140401555 174688135 225417127 244563389 260745745 365044043 454189151 464094085 593939659 606892265 1127085635 1222816945 1577919889 1825220215 2270945755 2899823041 2969698295 3179324057 4157577613 7721215567 7889599445 14499115205 15896620285 20298761287 20787888065 37697699533 38606077835 49296991697 54048508969 101493806435 188488497665 246484958485 263883896731 270242544845 345078941879 640860892061 1319419483655 1725394709395 3204304460305 4486026244427 22430131222135