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122117742 = 23231218849
BaseRepresentation
bin1110100011101…
…01111001101110
322111210020001100
413101311321232
5222230231432
620041223530
73011661255
oct721657156
9274706040
10122117742
1162a2895a
1234a91ba6
131c3b8b26
141230b79c
15aac307c
hex7475e6e

122117742 has 24 divisors (see below), whose sum is σ = 273124800. Its totient is φ = 39392640.

The previous prime is 122117729. The next prime is 122117747. The reversal of 122117742 is 247711221.

It is a happy number.

It is a super-3 number, since 3×1221177423 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122117747) 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 11 ways as a sum of consecutive naturals, for example, 108867 + ... + 109982.

It is an arithmetic number, because the mean of its divisors is an integer number (11380200).

Almost surely, 2122117742 is an apocalyptic number.

122117742 is an abundant number, since it is smaller than the sum of its proper divisors (151007058).

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

122117742 is a wasteful number, since it uses less digits than its factorization.

122117742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218888 (or 218885 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 122117742 is about 11050.6896617360. The cubic root of 122117742 is about 496.1270675789.

Adding to 122117742 its reverse (247711221), we get a palindrome (369828963).

The spelling of 122117742 in words is "one hundred twenty-two million, one hundred seventeen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 218849 437698 656547 1313094 1969641 3939282 6784319 13568638 20352957 40705914 61058871 122117742