Search a number
-
+
210022121222100 = 223552112331215797
BaseRepresentation
bin101111110000001110010101…
…111011100010111111010100
31000112121220210201211211100000
4233300032111323202333110
5210012000301013101400
62022402455221051300
762144411644162035
oct5760162573427724
91015556721754300
10210022121222100
1160a12977189a00
121b67b83b556b30
139026002400625
1439c11a6a4aa8c
1519432560a8600
hexbf0395ee2fd4

210022121222100 has 648 divisors, whose sum is σ = 752658997234144. Its totient is φ = 50760398304000.

The previous prime is 210022121222099. The next prime is 210022121222113. The reversal of 210022121222100 is 1222121220012.

It is a happy number.

210022121222100 is a `hidden beast` number, since 2 + 10 + 0 + 221 + 212 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 973131402 + ... + 973347198.

Almost surely, 2210022121222100 is an apocalyptic number.

210022121222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376329498617072).

210022121222100 is an abundant number, since it is smaller than the sum of its proper divisors (542636876012044).

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

210022121222100 is a wasteful number, since it uses less digits than its factorization.

210022121222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216179 (or 216149 counting only the distinct ones).

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

Adding to 210022121222100 its reverse (1222121220012), we get a palindrome (211244242442112).

The spelling of 210022121222100 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".