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212022022102020 = 223451317592207201
BaseRepresentation
bin110000001101010100111001…
…010011111101110000000100
31000210201002220021011212010000
4300031110321103331300010
5210242232100124231040
62030533323341401300
762442041234161224
oct6015247123756004
91023632807155100
10212022022102020
116161404208a369
121b943356269230
13913c78b26b860
143a4dcc6298084
15197a2a5507130
hexc0d5394fdc04

212022022102020 has 240 divisors, whose sum is σ = 758418444142128. Its totient is φ = 49120033996800.

The previous prime is 212022022102001. The next prime is 212022022102031. The reversal of 212022022102020 is 20201220220212.

212022022102020 is a `hidden beast` number, since 2 + 1 + 20 + 220 + 221 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15086885345856 + 196935136756164 = 3884184^2 + 14033358^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212022022101984 and 212022022102002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 295745581 + ... + 296461620.

Almost surely, 2212022022102020 is an apocalyptic number.

212022022102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022022102020 is an abundant number, since it is smaller than the sum of its proper divisors (546396422040108).

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

212022022102020 is a wasteful number, since it uses less digits than its factorization.

212022022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592207252 (or 592207241 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212022022102020 its reverse (20201220220212), we get a palindrome (232223242322232).

The spelling of 212022022102020 in words is "two hundred twelve trillion, twenty-two billion, twenty-two million, one hundred two thousand, twenty".