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10045531122 = 23111105913763
BaseRepresentation
bin10010101101100001…
…01010001111110010
3221221002102212002020
421112300222033302
5131033123443442
64340450332310
7503636414514
oct112660521762
927832385066
1010045531122
114295493240
121b4428a096
13c4126c773
146b4215bb4
153dbda39ec
hex256c2a3f2

10045531122 has 32 divisors (see below), whose sum is σ = 21921096960. Its totient is φ = 3043603920.

The previous prime is 10045531109. The next prime is 10045531123. The reversal of 10045531122 is 22113554001.

It is a happy number.

10045531122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10045531092 and 10045531101.

It is not an unprimeable number, because it can be changed into a prime (10045531123) 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, 723013 + ... + 736775.

It is an arithmetic number, because the mean of its divisors is an integer number (685034280).

Almost surely, 210045531122 is an apocalyptic number.

10045531122 is an abundant number, since it is smaller than the sum of its proper divisors (11875565838).

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

10045531122 is a wasteful number, since it uses less digits than its factorization.

10045531122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24838.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10045531122 in words is "ten billion, forty-five million, five hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 11059 13763 22118 27526 33177 41289 66354 82578 121649 151393 243298 302786 364947 454179 729894 908358 152205017 304410034 456615051 913230102 1674255187 3348510374 5022765561 10045531122