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211012022120 = 2355275300553
BaseRepresentation
bin1100010010000101001…
…0111110111101101000
3202011122210100100222112
43010201102332331220
511424123034201440
6240534303541452
721150034410524
oct3044122767550
9664583310875
10211012022120
1181542870429
1234a8b5ba888
1316b8a8958b3
14a2da800d84
1557500da965
hex31214bef68

211012022120 has 16 divisors (see below), whose sum is σ = 474777049860. Its totient is φ = 84404808832.

The previous prime is 211012022107. The next prime is 211012022131. The reversal of 211012022120 is 21220210112.

211012022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 206175932356 + 4836089764 = 454066^2 + 69542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211012022095 and 211012022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637650237 + ... + 2637650316.

Almost surely, 2211012022120 is an apocalyptic number.

211012022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012022120 is an abundant number, since it is smaller than the sum of its proper divisors (263765027740).

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

211012022120 is a wasteful number, since it uses less digits than its factorization.

211012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275300564 (or 5275300560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211012022120 its reverse (21220210112), we get a palindrome (232232232232).

The spelling of 211012022120 in words is "two hundred eleven billion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5275300553 10550601106 21101202212 26376502765 42202404424 52753005530 105506011060 211012022120