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5312442135 = 35711132315383
BaseRepresentation
bin1001111001010010…
…10110111100010111
3111201020022000121010
410330221112330113
541334441122020
62235052023303
7245435004330
oct47451267427
914636260533
105312442135
11228680a450
121043161b33
136687c49b0
14385793287
152115c1de0
hex13ca56f17

5312442135 has 128 divisors (see below), whose sum is σ = 11909431296. Its totient is φ = 1949207040.

The previous prime is 5312442097. The next prime is 5312442143.

5312442135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5312442135 - 210 = 5312441111 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337654 + ... + 353036.

It is an arithmetic number, because the mean of its divisors is an integer number (93042432).

Almost surely, 25312442135 is an apocalyptic number.

5312442135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5312442135 is an abundant number, since it is smaller than the sum of its proper divisors (6596989161).

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

5312442135 is a wasteful number, since it uses less digits than its factorization.

5312442135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15445.

The product of its digits is 14400, while the sum is 30.

The square root of 5312442135 is about 72886.5017338602. The cubic root of 5312442135 is about 1744.8766764788.

It can be divided in two parts, 53124 and 42135, that added together give a palindrome (95259).

The spelling of 5312442135 in words is "five billion, three hundred twelve million, four hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 23 33 35 39 55 65 69 77 91 105 115 143 161 165 195 231 253 273 299 345 385 429 455 483 715 759 805 897 1001 1155 1265 1365 1495 1771 2093 2145 2415 3003 3289 3795 4485 5005 5313 6279 8855 9867 10465 15015 15383 16445 23023 26565 31395 46149 49335 69069 76915 107681 115115 169213 199979 230745 323043 345345 353809 507639 538405 599937 846065 999895 1061427 1184491 1399853 1615215 1769045 2199769 2476663 2538195 2999685 3553473 3891899 4199559 4599517 5307135 5922455 6599307 6999265 7429989 10998845 11675697 12383315 13798551 15398383 17767365 19459495 20997795 22997585 27243293 32196619 32996535 37149945 46195149 50594687 58378485 68992755 76991915 81729879 96589857 136216465 151784061 160983095 230975745 252973435 354162809 408649395 482949285 758920305 1062488427 1770814045 5312442135