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122190114817 = 31101330711801
BaseRepresentation
bin111000111001100011…
…0010011000000000001
3102200101122020222020001
41301303012103000001
54000221132133232
6132044450120001
711553661560541
oct1616306230001
9380348228201
10122190114817
1147903152871
121b821280001
13b6a3b674b4
145cb216d321
1532a23bd6e7
hex1c73193001

122190114817 has 16 divisors (see below), whose sum is σ = 127429876224. Its totient is φ = 117032400000.

The previous prime is 122190114799. The next prime is 122190114853. The reversal of 122190114817 is 718411091221.

It is a cyclic number.

It is not a de Polignac number, because 122190114817 - 235 = 87830376449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122190114887) 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, 10348317 + ... + 10360117.

It is an arithmetic number, because the mean of its divisors is an integer number (7964367264).

Almost surely, 2122190114817 is an apocalyptic number.

It is an amenable number.

122190114817 is a deficient number, since it is larger than the sum of its proper divisors (5239761407).

122190114817 is a wasteful number, since it uses less digits than its factorization.

122190114817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240.

The product of its (nonzero) digits is 8064, while the sum is 37.

The spelling of 122190114817 in words is "one hundred twenty-two billion, one hundred ninety million, one hundred fourteen thousand, eight hundred seventeen".

Divisors: 1 31 101 3131 3307 11801 102517 334007 365831 1191901 10354217 36948931 39025907 1209803117 3941616607 122190114817