Search a number
-
+
210020212112022 = 2321373113253942853
BaseRepresentation
bin101111110000001100100100…
…001000110111101010010110
31000112121201212200111222122100
4233300030210020313222112
5210011432343300041042
62022401541542142530
762144313433050324
oct5760144410675226
91015551780458570
10210020212112022
1160a12087581284
121b67b3a8121a46
139025a89a2a2b0
1439c1065290d14
15194319369b24c
hexbf0324237a96

210020212112022 has 192 divisors, whose sum is σ = 501365326512960. Its totient is φ = 63145983172608.

The previous prime is 210020212111981. The next prime is 210020212112057. The reversal of 210020212112022 is 220211212020012.

It is a happy number.

210020212112022 is a `hidden beast` number, since 210 + 0 + 20 + 21 + 211 + 202 + 2 = 666.

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 = 210020212111986 and 210020212112004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4900923948 + ... + 4900966800.

It is an arithmetic number, because the mean of its divisors is an integer number (2611277742255).

Almost surely, 2210020212112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020212112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250682663256480).

210020212112022 is an abundant number, since it is smaller than the sum of its proper divisors (291345114400938).

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

210020212112022 is a wasteful number, since it uses less digits than its factorization.

210020212112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45599 (or 45596 counting only the distinct ones).

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

Adding to 210020212112022 its reverse (220211212020012), we get a palindrome (430231424132034).

The spelling of 210020212112022 in words is "two hundred ten trillion, twenty billion, two hundred twelve million, one hundred twelve thousand, twenty-two".