Search a number
-
+
122163397947 = 3278741532
BaseRepresentation
bin111000111000110000…
…0011000010100111011
3102200022202222121120100
41301301200120110323
54000142312213242
6132042053330443
711553215515023
oct1616140302473
9380282877510
10122163397947
114789a065008
121b814336a23
13b69b4719b6
145cac7b6a83
15329ed9254c
hex1c7181853b

122163397947 has 18 divisors (see below), whose sum is σ = 176725011372. Its totient is φ = 81319195296.

The previous prime is 122163397933. The next prime is 122163397991. The reversal of 122163397947 is 749793361221.

122163397947 is a `hidden beast` number, since 1 + 2 + 2 + 163 + 397 + 94 + 7 = 666.

It is not a de Polignac number, because 122163397947 - 210 = 122163396923 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122163397893 and 122163397902.

It is not an unprimeable number, because it can be changed into a prime (122163397907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29413623 + ... + 29417775.

Almost surely, 2122163397947 is an apocalyptic number.

122163397947 is a deficient number, since it is larger than the sum of its proper divisors (54561613425).

122163397947 is an frugal number, since it uses more digits than its factorization.

122163397947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 4943 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 122163397947 in words is "one hundred twenty-two billion, one hundred sixty-three million, three hundred ninety-seven thousand, nine hundred forty-seven".

Divisors: 1 3 9 787 2361 4153 7083 12459 37377 3268411 9805233 17247409 29415699 51742227 155226681 13573710883 40721132649 122163397947