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11122346790 = 233541193877
BaseRepresentation
bin10100101101111000…
…11000101100100110
31001201010122202111000
422112330120230212
5140234310044130
65035354254130
7542423250012
oct122674305446
931633582430
1011122346790
114798302845
1221a4a27346
1310833937b9
1477723b542
154516aa260
hex296f18b26

11122346790 has 32 divisors (see below), whose sum is σ = 29659592160. Its totient is φ = 2965959072.

The previous prime is 11122346777. The next prime is 11122346797. The reversal of 11122346790 is 9764322111.

11122346790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122346797) 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, 20596669 + ... + 20597208.

It is an arithmetic number, because the mean of its divisors is an integer number (926862255).

Almost surely, 211122346790 is an apocalyptic number.

11122346790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11122346790 is an abundant number, since it is smaller than the sum of its proper divisors (18537245370).

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

11122346790 is a wasteful number, since it uses less digits than its factorization.

11122346790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41193893 (or 41193887 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11122346790 in words is "eleven billion, one hundred twenty-two million, three hundred forty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 41193877 82387754 123581631 205969385 247163262 370744893 411938770 617908155 741489786 1112234679 1235816310 1853724465 2224469358 3707448930 5561173395 11122346790