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201022102221120 = 26325371886468677
BaseRepresentation
bin101101101101010000011010…
…111111101011000101000000
3222100202112011221021122112200
4231231100122333223011000
5202322021231132033440
61551312140123153200
760225240042665145
oct5555203277530500
9870675157248480
10201022102221120
1159062aa4083094
121a66751b375800
1388223c261a16b
14378d74361a3cc
1518390a5dc6c30
hexb6d41afeb140

201022102221120 has 168 divisors, whose sum is σ = 710119631522184. Its totient is φ = 52157085954048.

The previous prime is 201022102221071. The next prime is 201022102221121. The reversal of 201022102221120 is 21122201220102.

It is a happy number.

201022102221120 is a `hidden beast` number, since 20 + 102 + 210 + 222 + 112 + 0 = 666.

201022102221120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37001623746816 + 164020478474304 = 6082896^2 + 12807048^2 .

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 = 201022102221093 and 201022102221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022102221121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943127779 + ... + 943340898.

Almost surely, 2201022102221120 is an apocalyptic number.

201022102221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022102221120 is an abundant number, since it is smaller than the sum of its proper divisors (509097529301064).

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

201022102221120 is a wasteful number, since it uses less digits than its factorization.

201022102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886468737 (or 1886468724 counting only the distinct ones).

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

Adding to 201022102221120 its reverse (21122201220102), we get a palindrome (222144303441222).

The spelling of 201022102221120 in words is "two hundred one trillion, twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".