Search a number
-
+
10510913290839 = 31329431571137573
BaseRepresentation
bin1001100011110100001101…
…0000001100001001010111
31101012211111121201120200220
42120331003100030021113
52334202322300301324
634204351422005423
72133250141561263
oct230750320141127
941184447646626
1010510913290839
113392720596445
121219103716873
135b3237261830
14284a338d10a3
1513362dbd8b79
hex98f4340c257

10510913290839 has 64 divisors (see below), whose sum is σ = 15986406965760. Its totient is φ = 6096046440960.

The previous prime is 10510913290837. The next prime is 10510913290873. The reversal of 10510913290839 is 93809231901501.

It is not a de Polignac number, because 10510913290839 - 21 = 10510913290837 is a prime.

It is a super-2 number, since 2×105109132908392 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10510913290791 and 10510913290800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510913290837) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 76333657 + ... + 76471229.

It is an arithmetic number, because the mean of its divisors is an integer number (249787608840).

Almost surely, 210510913290839 is an apocalyptic number.

10510913290839 is a deficient number, since it is larger than the sum of its proper divisors (5475493674921).

10510913290839 is a wasteful number, since it uses less digits than its factorization.

10510913290839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139232.

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 10510913290839 in words is "ten trillion, five hundred ten billion, nine hundred thirteen million, two hundred ninety thousand, eight hundred thirty-nine".

Divisors: 1 3 13 29 39 43 87 129 377 559 1131 1247 1571 1677 3741 4713 16211 20423 45559 48633 61269 67553 136677 137573 202659 412719 592267 878189 1776801 1788449 1959037 2634567 3989617 5365347 5877111 5915639 11968851 17746917 25467481 51865021 76402443 76903307 155595063 171553531 216127183 230709921 514660593 648381549 2230195903 2809653379 6267688307 6690587709 8428960137 9293468869 18803064921 27880406607 81479947991 120815095297 244439843973 269510597201 362445285891 808531791603 3503637763613 10510913290839