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123020420431041 = 32717114865005071
BaseRepresentation
bin11011111110001011101100…
…011101011011110011000001
3121010120122012121200200121100
4123332023230131123303001
5112111031310112243131
61113350445001045013
734624634462222520
oct3376135435336301
9533518177620540
10123020420431041
113621a738219a81
121196a221a86769
135384a1177a463
1422543120104b7
15e3509b9b27e6
hex6fe2ec75bcc1

123020420431041 has 24 divisors (see below), whose sum is σ = 215027289494784. Its totient is φ = 66162242920320.

The previous prime is 123020420431033. The next prime is 123020420431043. The reversal of 123020420431041 is 140134024020321.

123020420431041 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 204 + 20 + 431 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 123020420431041 - 23 = 123020420431033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123020420430996 and 123020420431014.

It is not an unprimeable number, because it can be changed into a prime (123020420431043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57432501465 + ... + 57432503606.

It is an arithmetic number, because the mean of its divisors is an integer number (8959470395616).

Almost surely, 2123020420431041 is an apocalyptic number.

It is an amenable number.

123020420431041 is a deficient number, since it is larger than the sum of its proper divisors (92006869063743).

123020420431041 is a wasteful number, since it uses less digits than its factorization.

123020420431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114865005101 (or 114865005098 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123020420431041 its reverse (140134024020321), we get a palindrome (263154444451362).

The spelling of 123020420431041 in words is "one hundred twenty-three trillion, twenty billion, four hundred twenty million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 114865005071 344595015213 804055035497 1033785045639 1952705086207 2412165106491 5858115258621 7236495319473 13668935603449 17574345775863 41006806810347 123020420431041