Search a number
-
+
10113113430 = 2325723761979
BaseRepresentation
bin10010110101100100…
…11101110101010110
3222002210121101120200
421122302131311112
5131202424112210
64351303041330
7505420021500
oct113262356526
928083541520
1010113113430
11431a652892
121b62a40246
13c522729b4
146bd1a8d70
153e2ca30c0
hex25ac9dd56

10113113430 has 144 divisors (see below), whose sum is σ = 31414191120. Its totient is φ = 2249057664.

The previous prime is 10113113399. The next prime is 10113113441. The reversal of 10113113430 is 3431131101.

10113113430 is a `hidden beast` number, since 1 + 0 + 11 + 311 + 343 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 132181 + ... + 194159.

It is an arithmetic number, because the mean of its divisors is an integer number (218154105).

Almost surely, 210113113430 is an apocalyptic number.

10113113430 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 10113113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707095560).

10113113430 is an abundant number, since it is smaller than the sum of its proper divisors (21301077690).

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

10113113430 is a wasteful number, since it uses less digits than its factorization.

10113113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62043 (or 62033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113113430 its reverse (3431131101), we get a palindrome (13544244531).

The spelling of 10113113430 in words is "ten billion, one hundred thirteen million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 49 63 70 74 90 98 105 111 126 147 185 210 222 245 259 294 315 333 370 441 490 518 555 630 666 735 777 882 1110 1295 1470 1554 1665 1813 2205 2331 2590 3330 3626 3885 4410 4662 5439 7770 9065 10878 11655 16317 18130 23310 27195 32634 54390 61979 81585 123958 163170 185937 309895 371874 433853 557811 619790 867706 929685 1115622 1301559 1859370 2169265 2293223 2603118 2789055 3036971 3904677 4338530 4586446 5578110 6073942 6507795 6879669 7809354 9110913 11466115 13015590 13759338 15184855 16052561 18221826 19523385 20639007 22932230 27332739 30369710 32105122 34398345 39046770 41278014 45554565 48157683 54665478 68796690 80262805 91109130 96315366 103195035 112367927 136663695 144473049 160525610 206390070 224735854 240788415 273327390 288946098 337103781 481576830 561839635 674207562 722365245 1011311343 1123679270 1444730490 1685518905 2022622686 3371037810 5056556715 10113113430