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121233241431 = 33172311483683
BaseRepresentation
bin111000011101000010…
…0000111010101010111
3102120220221201202201000
41300322010013111113
53441241202211211
6131405505034343
711521162356321
oct1607204072527
9376827652630
10121233241431
1147462005715
121b5b49259b3
13b58084a023
145c2104a611
1532483aa656
hex1c3a107557

121233241431 has 32 divisors (see below), whose sum is σ = 198438059520. Its totient is φ = 72760609152.

The previous prime is 121233241417. The next prime is 121233241439. The reversal of 121233241431 is 134142332121.

121233241431 is a `hidden beast` number, since 1 + 212 + 3 + 3 + 2 + 414 + 31 = 666.

It is not a de Polignac number, because 121233241431 - 25 = 121233241399 is a prime.

It is a super-2 number, since 2×1212332414312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121233241395 and 121233241404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121233241439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5731285 + ... + 5752398.

It is an arithmetic number, because the mean of its divisors is an integer number (6201189360).

Almost surely, 2121233241431 is an apocalyptic number.

121233241431 is a deficient number, since it is larger than the sum of its proper divisors (77204818089).

121233241431 is a wasteful number, since it uses less digits than its factorization.

121233241431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483732 (or 11483726 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 121233241431 its reverse (134142332121), we get a palindrome (255375573552).

The spelling of 121233241431 in words is "one hundred twenty-one billion, two hundred thirty-three million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 11483683 34451049 103353147 195222611 264124709 310059441 585667833 792374127 1757003499 2377122381 4490120053 5271010497 7131367143 13470360159 40411080477 121233241431