Search a number
-
+
10130311030110 = 23517197367274739
BaseRepresentation
bin1001001101101010010110…
…0101110010010101011110
31022212110002210102110112220
42103122211211302111132
52311433334110430420
633313444534410210
72063614360001055
oct223324545622536
938773083373486
1010130311030110
113256271530727
1211773a4800966
135863905c052b
14270449a3d39c
151287a5243840
hex936a597255e

10130311030110 has 128 divisors (see below), whose sum is σ = 25944177346560. Its totient is φ = 2522701461504.

The previous prime is 10130311030069. The next prime is 10130311030123. The reversal of 10130311030110 is 1103011303101.

It is a super-2 number, since 2×101303110301102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130311030110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36735121 + ... + 37009859.

It is an arithmetic number, because the mean of its divisors is an integer number (202688885520).

Almost surely, 210130311030110 is an apocalyptic number.

10130311030110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130311030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972088673280).

10130311030110 is an abundant number, since it is smaller than the sum of its proper divisors (15813866316450).

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

10130311030110 is a wasteful number, since it uses less digits than its factorization.

10130311030110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275330.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10130311030110 its reverse (1103011303101), we get a palindrome (11233322333211).

The spelling of 10130311030110 in words is "ten trillion, one hundred thirty billion, three hundred eleven million, thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 197 255 367 394 510 591 734 985 1101 1182 1835 1970 2202 2955 3349 3670 5505 5910 6239 6698 10047 11010 12478 16745 18717 20094 31195 33490 37434 50235 62390 72299 93585 100470 144598 187170 216897 274739 361495 433794 549478 722990 824217 1084485 1229083 1373695 1648434 2168970 2458166 2747390 3687249 4121085 4670563 6145415 7374498 8242170 9341126 12290830 14011689 18436245 23352815 28023378 36872490 46705630 54123583 70058445 100829213 108247166 140116890 162370749 201658426 270617915 302487639 324741498 504146065 541235830 604975278 811853745 920100911 1008292130 1512438195 1623707490 1714096621 1840201822 2760302733 3024876390 3428193242 4600504555 5142289863 5520605466 8570483105 9201009110 10284579726 13801513665 17140966210 19863354961 25711449315 27603027330 39726709922 51422898630 59590064883 99316774805 119180129766 198633549610 297950324415 337677034337 595900648830 675354068674 1013031103011 1688385171685 2026062206022 3376770343370 5065155515055 10130311030110