Search a number
-
+
10758138135 = 35171092931321
BaseRepresentation
bin10100000010011110…
…00010100100010111
31000202202100001010120
422001033002210113
5134013040410020
64535304123023
7530411444133
oct120117024427
930682301116
1010758138135
114620763458
122102a66473
131025aa4214
14740b123c3
1542e716740
hex2813c2917

10758138135 has 64 divisors (see below), whose sum is σ = 18469503360. Its totient is φ = 5328322560.

The previous prime is 10758138121. The next prime is 10758138187. The reversal of 10758138135 is 53183185701.

It is not a de Polignac number, because 10758138135 - 29 = 10758137623 is a prime.

It is a super-2 number, since 2×107581381352 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8143275 + ... + 8144595.

It is an arithmetic number, because the mean of its divisors is an integer number (288585990).

Almost surely, 210758138135 is an apocalyptic number.

10758138135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10758138135 is a deficient number, since it is larger than the sum of its proper divisors (7711365225).

10758138135 is a wasteful number, since it uses less digits than its factorization.

10758138135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 10758138135 in words is "ten billion, seven hundred fifty-eight million, one hundred thirty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 109 255 293 327 545 879 1321 1465 1635 1853 3963 4395 4981 5559 6605 9265 14943 19815 22457 24905 27795 31937 67371 74715 95811 112285 143989 159685 336855 387053 431967 479055 542929 719945 1161159 1628787 1935265 2159835 2447813 2714645 5805795 6579901 7343439 8143935 12239065 19739703 32899505 36717195 42188777 98698515 126566331 210943885 632831655 717209209 2151627627 3586046045 10758138135