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10111100430 = 2353189151809
BaseRepresentation
bin10010110101010101…
…10010011000001110
3222002122211010021010
421122222302120032
5131201420203210
64351151550050
7505363635624
oct113252623016
928078733233
1010111100430
1143194a8452
121b6222b326
13c51a19682
146bcc03514
153e2a06920
hex25aab260e

10111100430 has 128 divisors (see below), whose sum is σ = 25530163200. Its totient is φ = 2559744000.

The previous prime is 10111100429. The next prime is 10111100437. The reversal of 10111100430 is 3400111101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12497866 + ... + 12498674.

It is an arithmetic number, because the mean of its divisors is an integer number (199454400).

Almost surely, 210111100430 is an apocalyptic number.

10111100430 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 10111100430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765081600).

10111100430 is an abundant number, since it is smaller than the sum of its proper divisors (15419062770).

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

10111100430 is a wasteful number, since it uses less digits than its factorization.

10111100430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10111100430 its reverse (3400111101), we get a palindrome (13511211531).

The spelling of 10111100430 in words is "ten billion, one hundred eleven million, one hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 89 93 151 155 178 186 267 302 310 445 453 465 534 755 809 890 906 930 1335 1510 1618 2265 2427 2670 2759 4045 4530 4681 4854 5518 8090 8277 9362 12135 13439 13795 14043 16554 23405 24270 25079 26878 27590 28086 40317 41385 46810 50158 67195 70215 72001 75237 80634 82770 122159 125395 134390 140430 144002 150474 201585 216003 244318 250790 360005 366477 376185 403170 416609 432006 610795 720010 732954 752370 833218 1080015 1221590 1249827 1832385 2083045 2160030 2232031 2499654 3664770 3786929 4166090 4464062 6249135 6696093 7573858 10872151 11160155 11360787 12498270 13392186 18934645 21744302 22320310 22721574 32616453 33480465 37869290 54360755 56803935 65232906 66960930 108721510 113607870 163082265 326164530 337036681 674073362 1011110043 1685183405 2022220086 3370366810 5055550215 10111100430