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122140031 = 13311991523
BaseRepresentation
bin1110100011110…
…11010101111111
322111211100121212
413101323111333
5222231440111
620041515035
73012113246
oct721732577
9274740555
10122140031
1162a43682
1234aa2a7b
131c3c6010
141231595d
15aac998b
hex747b57f

122140031 has 16 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 108488160.

The previous prime is 122140009. The next prime is 122140033. The reversal of 122140031 is 130041221.

It is a cyclic number.

It is not a de Polignac number, because 122140031 - 210 = 122139007 is a prime.

It is a super-2 number, since 2×1221400312 = 29836374345361922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122139988 and 122140015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140033) 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, 79436 + ... + 80958.

It is an arithmetic number, because the mean of its divisors is an integer number (8534400).

Almost surely, 2122140031 is an apocalyptic number.

122140031 is a deficient number, since it is larger than the sum of its proper divisors (14410369).

122140031 is a wasteful number, since it uses less digits than its factorization.

122140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122140031 is about 11051.6981048163. The cubic root of 122140031 is about 496.1572502078.

Adding to 122140031 its reverse (130041221), we get a palindrome (252181252).

The spelling of 122140031 in words is "one hundred twenty-two million, one hundred forty thousand, thirty-one".

Divisors: 1 13 31 199 403 1523 2587 6169 19799 47213 80197 303077 613769 3940001 9395387 122140031