Search a number
-
+
10111010112 = 26337835897
BaseRepresentation
bin10010110101010100…
…11100010101000000
3222002122122112101000
421122222130111000
5131201404310422
64351150012000
7505363111410
oct113252342500
928078575330
1010111010112
114319446605
121b621a7000
13c519b7528
146bcbbc640
153e29d9cac
hex25aa9c540

10111010112 has 112 divisors (see below), whose sum is σ = 33970894720. Its totient is φ = 2888856576.

The previous prime is 10111010099. The next prime is 10111010137. The reversal of 10111010112 is 21101011101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111010094 and 10111010103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405853 + ... + 430044.

It is an arithmetic number, because the mean of its divisors is an integer number (303311560).

Almost surely, 210111010112 is an apocalyptic number.

10111010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111010112 is an abundant number, since it is smaller than the sum of its proper divisors (23859884608).

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

10111010112 is an equidigital number, since it uses as much as digits as its factorization.

10111010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835925 (or 835909 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10111010112 its reverse (21101011101), we get a palindrome (31212021213).

The spelling of 10111010112 in words is "ten billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 835897 1671794 2507691 3343588 5015382 5851279 6687176 7523073 10030764 11702558 13374352 15046146 17553837 20061528 22569219 23405116 26748704 30092292 35107674 40123056 45138438 46810232 52661511 53497408 60184584 70215348 80246112 90276876 93620464 105323022 120369168 140430696 157984533 160492224 180553752 187240928 210646044 240738336 280861392 315969066 361107504 374481856 421292088 481476672 561722784 631938132 722215008 842584176 1123445568 1263876264 1444430016 1685168352 2527752528 3370336704 5055505056 10111010112