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122133232020231 = 32103131751059353
BaseRepresentation
bin11011110001010001011011…
…111010001110101100000111
3121000102211012221011202210100
4123301101123322032230013
5112002012324344121411
61111431122054255143
734503556226161125
oct3361213372165407
9530384187152710
10122133232020231
1135a0845a517823
12118462a43574b3
13531c164335a73
1422233cc34a915
15e1be740bc456
hex6f145be8eb07

122133232020231 has 12 divisors (see below), whose sum is σ = 178127432246608. Its totient is φ = 80631648323424.

The previous prime is 122133232020227. The next prime is 122133232020253. The reversal of 122133232020231 is 132020232331221.

122133232020231 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 332 + 320 + 2 + 0 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 122133232020231 - 22 = 122133232020227 is a prime.

It is a super-2 number, since 2×1221332320202312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122133232020195 and 122133232020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133232020221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65875528750 + ... + 65875530603.

Almost surely, 2122133232020231 is an apocalyptic number.

122133232020231 is a deficient number, since it is larger than the sum of its proper divisors (55994200226377).

122133232020231 is a wasteful number, since it uses less digits than its factorization.

122133232020231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131751059462 (or 131751059459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122133232020231 its reverse (132020232331221), we get a palindrome (254153464351452).

The spelling of 122133232020231 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, two hundred thirty-two million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 103 309 927 131751059353 395253178059 1185759534177 13570359113359 40711077340077 122133232020231