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10302134436 = 22321117290019
BaseRepresentation
bin10011001100000111…
…00001100010100100
3222120222021122122200
421212003201202210
5132044321300221
64422134254500
7513203461236
oct114603414244
928528248580
1010302134436
1144073170a0
121bb61b7430
13c82484949
146da330256
1540468e426
hex2660e18a4

10302134436 has 108 divisors (see below), whose sum is σ = 30178664880. Its totient is φ = 2938187520.

The previous prime is 10302134429. The next prime is 10302134443. The reversal of 10302134436 is 63443120301.

10302134436 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 213 + 443 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10302134429) and next prime (10302134443).

It is a super-2 number, since 2×103021344362 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69435 + ... + 159453.

Almost surely, 210302134436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302134436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089332440).

10302134436 is an abundant number, since it is smaller than the sum of its proper divisors (19876530444).

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

10302134436 is a wasteful number, since it uses less digits than its factorization.

10302134436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90074 (or 90052 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10302134436 its reverse (63443120301), we get a palindrome (73745254737).

The spelling of 10302134436 in words is "ten billion, three hundred two million, one hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 28611 38148 57222 90019 114444 180038 270057 360076 540114 810171 990209 1080228 1530323 1620342 1980418 2970627 3060646 3240684 3960836 4590969 5941254 6121292 8911881 9181938 11882508 13772907 16833553 17823762 18363876 26015491 27545814 33667106 35647524 50500659 52030982 55091628 67334212 78046473 101001318 104061964 151501977 156092946 202002636 234139419 286170401 303003954 312185892 468278838 572340802 606007908 858511203 936557676 1144681604 1717022406 2575533609 3434044812 5151067218 10302134436