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122818434228 = 22327487374739
BaseRepresentation
bin111001001100010001…
…1001001010010110100
3102202000102112220102100
41302120203021102310
54003013004343403
6132231053142100
711605361315550
oct1623043112264
9382012486370
10122818434228
11480a5893506
121b97778a930
13b77409a129
145d317a8860
1532dc6322a3
hex1c988c94b4

122818434228 has 36 divisors (see below), whose sum is σ = 354808810720. Its totient is φ = 35090981136.

The previous prime is 122818434227. The next prime is 122818434259. The reversal of 122818434228 is 822434818221.

122818434228 is a `hidden beast` number, since 1 + 2 + 281 + 8 + 4 + 342 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122818434227) 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, 243687118 + ... + 243687621.

Almost surely, 2122818434228 is an apocalyptic number.

122818434228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122818434228 is an abundant number, since it is smaller than the sum of its proper divisors (231990376492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122818434228 is a wasteful number, since it uses less digits than its factorization.

122818434228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487374756 (or 487374751 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 122818434228 in words is "one hundred twenty-two billion, eight hundred eighteen million, four hundred thirty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 487374739 974749478 1462124217 1949498956 2924248434 3411623173 4386372651 5848496868 6823246346 8772745302 10234869519 13646492692 17545490604 20469739038 30704608557 40939478076 61409217114 122818434228