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420011212122 = 23223333956229
BaseRepresentation
bin1100001110010101001…
…11100111110101011010
31111011010022012021101100
412013022213213311122
523340140332241442
6520541145532230
742226161253215
oct6071247476532
91434108167340
10420011212122
1115214241a237
1269498aa4076
13307b7440468
1416485b6677c
15add362b84c
hex61ca9e7d5a

420011212122 has 12 divisors (see below), whose sum is σ = 910024292970. Its totient is φ = 140003737368.

The previous prime is 420011212057. The next prime is 420011212141. The reversal of 420011212122 is 221212110024.

420011212122 is a `hidden beast` number, since 420 + 0 + 1 + 121 + 2 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249689096721 + 170322115401 = 499689^2 + 412701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23333956229 = 420011212122 / (4 + 2 + 0 + 0 + 1 + 1 + 2 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 420011212095 and 420011212104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11666978097 + ... + 11666978132.

Almost surely, 2420011212122 is an apocalyptic number.

420011212122 is an abundant number, since it is smaller than the sum of its proper divisors (490013080848).

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

420011212122 is a wasteful number, since it uses less digits than its factorization.

420011212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23333956237 (or 23333956234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420011212122 its reverse (221212110024), we get a palindrome (641223322146).

The spelling of 420011212122 in words is "four hundred twenty billion, eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23333956229 46667912458 70001868687 140003737374 210005606061 420011212122