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220310242013022 = 237171674336136961
BaseRepresentation
bin110010000101111011111001…
…101101110010111101011110
31001220001110020120011202112220
4302011323321231302331132
5212334030333423404042
62100321043350410210
764255614114052260
oct6205737155627536
91056043216152486
10220310242013022
116421a05a15a657
1220861726360966
1395c1222265b45
143c59103343b30
151a70b958498ec
hexc85ef9b72f5e

220310242013022 has 256 divisors, whose sum is σ = 538573697077248. Its totient is φ = 58648070062080.

The previous prime is 220310242013003. The next prime is 220310242013137.

220310242013022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220310242012983 and 220310242013001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31649219622 + ... + 31649226582.

It is an arithmetic number, because the mean of its divisors is an integer number (2103803504208).

Almost surely, 2220310242013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220310242013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269286848538624).

220310242013022 is an abundant number, since it is smaller than the sum of its proper divisors (318263455064226).

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

220310242013022 is a wasteful number, since it uses less digits than its factorization.

220310242013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 220310242013022 in words is "two hundred twenty trillion, three hundred ten billion, two hundred forty-two million, thirteen thousand, twenty-two".