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122142631 = 13127167443
BaseRepresentation
bin1110100011110…
…11111110100111
322111211111012011
413101323332213
5222232031011
620041535051
73012123652
oct721737647
9274744164
10122142631
1162a45626
1234aa4487
131c3c7260
1412316899
15aaca621
hex747bfa7

122142631 has 16 divisors (see below), whose sum is σ = 133668864. Its totient is φ = 110938464.

The previous prime is 122142607. The next prime is 122142667. The reversal of 122142631 is 136241221.

It is not a de Polignac number, because 122142631 - 25 = 122142599 is a prime.

It is a super-2 number, since 2×1221426312 = 29837644615204322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275496 + ... + 275938.

It is an arithmetic number, because the mean of its divisors is an integer number (8354304).

Almost surely, 2122142631 is an apocalyptic number.

122142631 is a deficient number, since it is larger than the sum of its proper divisors (11526233).

122142631 is a wasteful number, since it uses less digits than its factorization.

122142631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its digits is 576, while the sum is 22.

The square root of 122142631 is about 11051.8157331725. The cubic root of 122142631 is about 496.1607707563.

Adding to 122142631 its reverse (136241221), we get a palindrome (258383852).

The spelling of 122142631 in words is "one hundred twenty-two million, one hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 13 127 167 443 1651 2171 5759 21209 56261 73981 275717 731393 961753 9395587 122142631