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10113231100 = 22527234491399
BaseRepresentation
bin10010110101100101…
…11010100011111100
3222002210211100222211
421122302322203330
5131202441343400
64351305350204
7505421021530
oct113262724374
928083740884
1010113231100
11431a723235
121b62a98364
13c522b441b
146bd1d9bc0
153e2cc7dba
hex25acba8fc

10113231100 has 144 divisors (see below), whose sum is σ = 26248320000. Its totient is φ = 3306885120.

The previous prime is 10113230989. The next prime is 10113231113. The reversal of 10113231100 is 113231101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7228201 + ... + 7229599.

It is an arithmetic number, because the mean of its divisors is an integer number (182280000).

Almost surely, 210113231100 is an apocalyptic number.

10113231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160000).

10113231100 is an abundant number, since it is smaller than the sum of its proper divisors (16135088900).

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

10113231100 is a wasteful number, since it uses less digits than its factorization.

10113231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10113231100 its reverse (113231101), we get a palindrome (10226462201).

Subtracting from 10113231100 its reverse (113231101), we obtain a palindrome (9999999999).

The spelling of 10113231100 in words is "ten billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 449 460 575 644 700 805 898 1150 1399 1610 1796 2245 2300 2798 3143 3220 4025 4490 5596 6286 6995 8050 8980 9793 10327 11225 12572 13990 15715 16100 19586 20654 22450 27980 31430 32177 34975 39172 41308 44900 48965 51635 62860 64354 69950 72289 78575 97930 103270 128708 139900 144578 157150 160885 195860 206540 225239 244825 258175 289156 314300 321770 361445 450478 489650 516350 628151 643540 722890 804425 900956 979300 1032700 1126195 1256302 1445780 1608850 1807225 2252390 2512604 3140755 3217700 3614450 4397057 4504780 5630975 6281510 7228900 8794114 11261950 12563020 14447473 15703775 17588228 21985285 22523900 28894946 31407550 43970570 57789892 62815100 72237365 87941140 101132311 109926425 144474730 202264622 219852850 288949460 361186825 404529244 439705700 505661555 722373650 1011323110 1444747300 2022646220 2528307775 5056615550 10113231100