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10111001418 = 234721142257
BaseRepresentation
bin10010110101010100…
…11010001101001010
3222002122122002110000
421122222122031022
5131201404021133
64351145503430
7505363044150
oct113252321512
928078562400
1010111001418
114319440021
121b621a1b76
13c519b359b
146bcbb93d0
153e29d7413
hex25aa9a34a

10111001418 has 80 divisors (see below), whose sum is σ = 26016053184. Its totient is φ = 2875098240.

The previous prime is 10111001399. The next prime is 10111001443. The reversal of 10111001418 is 81410011101.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111001418.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218146 + ... + 260402.

Almost surely, 210111001418 is an apocalyptic number.

10111001418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111001418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008026592).

10111001418 is an abundant number, since it is smaller than the sum of its proper divisors (15905051766).

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

10111001418 is a wasteful number, since it uses less digits than its factorization.

10111001418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10111001418 its reverse (81410011101), we get a palindrome (91521012519).

The spelling of 10111001418 in words is "ten billion, one hundred eleven million, one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 211 378 422 567 633 1134 1266 1477 1899 2954 3798 4431 5697 8862 11394 13293 17091 26586 34182 39879 42257 79758 84514 119637 126771 239274 253542 295799 380313 591598 760626 887397 1140939 1774794 2281878 2662191 3422817 5324382 6845634 7986573 8916227 15973146 17832454 23959719 26748681 47919438 53497362 62413589 80246043 124827178 160492086 187240767 240738129 374481534 481476258 561722301 722214387 1123444602 1444428774 1685166903 3370333806 5055500709 10111001418