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10240113030 = 2357178573347
BaseRepresentation
bin10011000100101101…
…11011100110000110
3222102122120122021120
421202112323212012
5131432432104110
64412041054410
7511521344640
oct114226734606
928378518246
1010240113030
114385305534
121b99487406
13c7267a8a4
146d1dc7890
153ededc870
hex2625bb986

10240113030 has 128 divisors (see below), whose sum is σ = 29782950912. Its totient is φ = 2199687168.

The previous prime is 10240113029. The next prime is 10240113049. The reversal of 10240113030 is 3031104201.

10240113030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3057817 + ... + 3061163.

It is an arithmetic number, because the mean of its divisors is an integer number (232679304).

Almost surely, 210240113030 is an apocalyptic number.

10240113030 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 10240113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891475456).

10240113030 is an abundant number, since it is smaller than the sum of its proper divisors (19542837882).

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

10240113030 is a wasteful number, since it uses less digits than its factorization.

10240113030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10240113030 its reverse (3031104201), we get a palindrome (13271217231).

The spelling of 10240113030 in words is "ten billion, two hundred forty million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 857 1190 1714 1785 2571 3347 3570 4285 5142 5999 6694 8570 10041 11998 12855 14569 16735 17997 20082 23429 25710 29138 29995 33470 35994 43707 46858 50205 56899 59990 70287 72845 87414 89985 100410 101983 113798 117145 140574 145690 170697 179970 203966 218535 234290 284495 305949 341394 351435 398293 437070 509915 568990 611898 702870 796586 853485 1019830 1194879 1529745 1706970 1991465 2389758 2868379 3059490 3982930 5736758 5974395 8605137 11948790 14341895 17210274 20078653 28683790 40157306 43025685 48762443 60235959 86051370 97524886 100393265 120471918 146287329 200786530 243812215 292574658 301179795 341337101 487624430 602359590 682674202 731436645 1024011303 1462873290 1706685505 2048022606 3413371010 5120056515 10240113030