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211020010222122 = 23211723333901229
BaseRepresentation
bin101111111110101111101100…
…101111111111001000101010
31000200011022112100001100020200
4233332233230233333020222
5210124322440104101442
62024445130541333030
762306456366551143
oct5776575457771052
91020138470040220
10211020010222122
11612680a1543312
121b801112567176
13909914222954a
143a175cc982aca
15195e1ac33334c
hexbfebecbff22a

211020010222122 has 12 divisors (see below), whose sum is σ = 457210022147970. Its totient is φ = 70340003407368.

The previous prime is 211020010222117. The next prime is 211020010222123. The reversal of 211020010222122 is 221222010020112.

It is a happy number.

211020010222122 is a `hidden beast` number, since 2 + 110 + 200 + 10 + 222 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194027320738161 + 16992689483961 = 13929369^2 + 4122219^2 .

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: 11723333901229 = 211020010222122 / (2 + 1 + 1 + 0 + 2 + 0 + 0 + 1 + 0 + 2 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 211020010222095 and 211020010222104.

It is not an unprimeable number, because it can be changed into a prime (211020010222123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5861666950597 + ... + 5861666950632.

Almost surely, 2211020010222122 is an apocalyptic number.

211020010222122 is an abundant number, since it is smaller than the sum of its proper divisors (246190011925848).

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

211020010222122 is a wasteful number, since it uses less digits than its factorization.

211020010222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723333901237 (or 11723333901234 counting only the distinct ones).

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

Adding to 211020010222122 its reverse (221222010020112), we get a palindrome (432242020242234).

The spelling of 211020010222122 in words is "two hundred eleven trillion, twenty billion, ten million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11723333901229 23446667802458 35170001703687 70340003407374 105510005111061 211020010222122