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202210221112020 = 22325111734911202293
BaseRepresentation
bin101101111110100010111100…
…011001100011101011010100
3222111222002220222120212211100
4231332202330121203223110
5203001003013101041040
61554022032042310100
760410130532636152
oct5576427431435324
9874862828525740
10202210221112020
1159480967232050
121a819841ab8330
1388aa45a5994a4
1437d1053c343d2
151859e429c8b30
hexb7e8bc663ad4

202210221112020 has 288 divisors, whose sum is σ = 674371052095104. Its totient is φ = 48638001484800.

The previous prime is 202210221112019. The next prime is 202210221112033. The reversal of 202210221112020 is 20211122012202.

It is a happy number.

202210221112020 is a `hidden beast` number, since 20 + 2 + 210 + 221 + 11 + 202 + 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 = 202210221111984 and 202210221112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167585994 + ... + 168788286.

It is an arithmetic number, because the mean of its divisors is an integer number (2341566153108).

Almost surely, 2202210221112020 is an apocalyptic number.

202210221112020 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 202210221112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337185526047552).

202210221112020 is an abundant number, since it is smaller than the sum of its proper divisors (472160830983084).

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

202210221112020 is a wasteful number, since it uses less digits than its factorization.

202210221112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202983 (or 1202978 counting only the distinct ones).

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

Adding to 202210221112020 its reverse (20211122012202), we get a palindrome (222421343124222).

The spelling of 202210221112020 in words is "two hundred two trillion, two hundred ten billion, two hundred twenty-one million, one hundred twelve thousand, twenty".