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10111355334 = 233263711967
BaseRepresentation
bin10010110101010111…
…10000100111000110
3222002200022001221000
421122223300213012
5131202001332314
64351201234130
7505366050033
oct113253604706
928080261830
1010111355334
114319661a13
121b62332946
13c51aa86c2
146bcc6c38a
153e2a57209
hex25aaf09c6

10111355334 has 32 divisors (see below), whose sum is σ = 22555146240. Its totient is φ = 3357631656.

The previous prime is 10111355311. The next prime is 10111355339. The reversal of 10111355334 is 43355311101.

It is a happy number.

10111355334 is a `hidden beast` number, since 10 + 1 + 113 + 5 + 533 + 4 = 666.

10111355334 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 10111355298 and 10111355307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111355339) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 341782 + ... + 370185.

It is an arithmetic number, because the mean of its divisors is an integer number (704848320).

Almost surely, 210111355334 is an apocalyptic number.

10111355334 is an abundant number, since it is smaller than the sum of its proper divisors (12443790906).

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

10111355334 is a wasteful number, since it uses less digits than its factorization.

10111355334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712241 (or 712235 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10111355334 its reverse (43355311101), we get a palindrome (53466666435).

The spelling of 10111355334 in words is "ten billion, one hundred eleven million, three hundred fifty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1578 2367 4734 7101 14202 711967 1423934 2135901 4271802 6407703 12815406 19223109 38446218 187247321 374494642 561741963 1123483926 1685225889 3370451778 5055677667 10111355334