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10111111424 = 28179233947
BaseRepresentation
bin10010110101010101…
…10101000100000000
3222002122211200100022
421122222311010000
5131201421031144
64351152113012
7505364012651
oct113252650400
928078750308
1010111111424
114319505737
121b62235768
13c51a2168b
146bcc07528
153e2a09cee
hex25aab5100

10111111424 has 72 divisors (see below), whose sum is σ = 20404107360. Its totient is φ = 5000450048.

The previous prime is 10111111399. The next prime is 10111111427. The reversal of 10111111424 is 42411111101.

It is not an unprimeable number, because it can be changed into a prime (10111111427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10676519 + ... + 10677465.

It is an arithmetic number, because the mean of its divisors is an integer number (283390380).

Almost surely, 210111111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202053680).

10111111424 is an abundant number, since it is smaller than the sum of its proper divisors (10292995936).

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

10111111424 is an equidigital number, since it uses as much as digits as its factorization.

10111111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10111111424 its reverse (42411111101), we get a palindrome (52522222525).

The spelling of 10111111424 in words is "ten billion, one hundred eleven million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 179 233 256 358 466 716 932 947 1432 1864 1894 2864 3728 3788 5728 7456 7576 11456 14912 15152 22912 29824 30304 41707 45824 59648 60608 83414 121216 166828 169513 220651 242432 333656 339026 441302 667312 678052 882604 1334624 1356104 1765208 2669248 2712208 3530416 5338496 5424416 7060832 10676992 10848832 14121664 21697664 28243328 39496529 43395328 56486656 78993058 157986116 315972232 631944464 1263888928 2527777856 5055555712 10111111424