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200122311210030 = 2325112232931888751
BaseRepresentation
bin101101100000001010011011…
…010001010111010000101110
3222020120111122221202022012100
4231200022123101113100232
5202212300443132210110
61545342530503115530
760103234300410546
oct5540123321272056
9866514587668170
10200122311210030
1158846439555800
121a541065142ba6
1387885b7244941
14375bd85cb6326
151820991dccbc0
hexb6029b45742e

200122311210030 has 576 divisors, whose sum is σ = 637280403701760. Its totient is φ = 43359624000000.

The previous prime is 200122311210023. The next prime is 200122311210067. The reversal of 200122311210030 is 30012113221002.

200122311210030 is a `hidden beast` number, since 20 + 0 + 122 + 311 + 210 + 0 + 3 + 0 = 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 = 200122311209985 and 200122311210012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 224728155 + ... + 225616905.

It is an arithmetic number, because the mean of its divisors is an integer number (1106389589760).

Almost surely, 2200122311210030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200122311210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318640201850880).

200122311210030 is an abundant number, since it is smaller than the sum of its proper divisors (437158092491730).

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

200122311210030 is a wasteful number, since it uses less digits than its factorization.

200122311210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888869 (or 888855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200122311210030 its reverse (30012113221002), we get a palindrome (230134424431032).

The spelling of 200122311210030 in words is "two hundred trillion, one hundred twenty-two billion, three hundred eleven million, two hundred ten thousand, thirty".