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122140344431 = 7174125033889
BaseRepresentation
bin111000111000000100…
…0011100000001101111
3102200021011121101002102
41301300020130001233
54000120412010211
6132035511245315
711552515540430
oct1616010340157
9380234541072
10122140344431
1147888049616
121b80867983b
13b69675c771
145ca96d5487
15329cd3ba3b
hex1c7021c06f

122140344431 has 16 divisors (see below), whose sum is σ = 151404966720. Its totient is φ = 96130129920.

The previous prime is 122140344373. The next prime is 122140344433. The reversal of 122140344431 is 134443041221.

It is a cyclic number.

It is not a de Polignac number, because 122140344431 - 210 = 122140343407 is a prime.

It is a super-2 number, since 2×1221403444312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122140344394 and 122140344403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140344433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12512066 + ... + 12521823.

It is an arithmetic number, because the mean of its divisors is an integer number (9462810420).

Almost surely, 2122140344431 is an apocalyptic number.

122140344431 is a deficient number, since it is larger than the sum of its proper divisors (29264622289).

122140344431 is a wasteful number, since it uses less digits than its factorization.

122140344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25033954.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 122140344431 its reverse (134443041221), we get a palindrome (256583385652).

The spelling of 122140344431 in words is "one hundred twenty-two billion, one hundred forty million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 17 41 119 287 697 4879 25033889 175237223 425576113 1026389449 2979032791 7184726143 17448620633 122140344431