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5312242422135 = 3251124322688801
BaseRepresentation
bin100110101001101101001…
…0100101001000101110111
3200210211211022022122011100
41031103122110221011313
51144013433030002020
615144224355141143
71055540214362355
oct115233224510567
920724738278140
105312242422135
111768a003a2800
1271966b2a47b3
132c6c33345b2c
141451847ac7d5
15932b4a89a90
hex4d4da529177

5312242422135 has 72 divisors (see below), whose sum is σ = 10356439805712. Its totient is φ = 2515734144000.

The previous prime is 5312242422131. The next prime is 5312242422161.

5312242422135 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 2 + 424 + 221 + 3 + 5 = 666.

5312242422135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5312242422135 - 22 = 5312242422131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5312242422135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312242422131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11110266 + ... + 11578535.

It is an arithmetic number, because the mean of its divisors is an integer number (143839441746).

Almost surely, 25312242422135 is an apocalyptic number.

5312242422135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5312242422135 is a deficient number, since it is larger than the sum of its proper divisors (5044197383577).

5312242422135 is a wasteful number, since it uses less digits than its factorization.

5312242422135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22688877 (or 22688863 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 5312242422135 in words is "five trillion, three hundred twelve billion, two hundred forty-two million, four hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 121 129 165 215 363 387 473 495 605 645 1089 1419 1815 1935 2365 4257 5203 5445 7095 15609 21285 26015 46827 78045 234135 22688801 68066403 113444005 204199209 249576811 340332015 748730433 975618443 1020996045 1247884055 2246191299 2745344921 2926855329 3743652165 4878092215 8236034763 8780565987 10731802873 11230956495 13726724605 14634276645 24708104289 32195408619 41180173815 43902829935 53659014365 96586225857 118049831603 123540521445 160977043095 354149494809 482931129285 590249158015 1062448484427 1770747474045 5312242422135