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202220101020 = 2235717127223009
BaseRepresentation
bin1011110001010101000…
…0011101110110011100
3201022222001210111120010
42330111100131312130
511303121321213040
6232522034323220
720416126332510
oct2742520356634
9638861714503
10202220101020
1178840a7aa33
1233237129510
13160b926ac12
149b04cb2140
1553d8311e80
hex2f1541dd9c

202220101020 has 192 divisors, whose sum is σ = 690567413760. Its totient is φ = 43160076288.

The previous prime is 202220101019. The next prime is 202220101033. The reversal of 202220101020 is 20101022202.

202220101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202220100987 and 202220101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795276 + ... + 1018284.

It is an arithmetic number, because the mean of its divisors is an integer number (3596705280).

Almost surely, 2202220101020 is an apocalyptic number.

202220101020 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 202220101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345283706880).

202220101020 is an abundant number, since it is smaller than the sum of its proper divisors (488347312740).

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

202220101020 is a wasteful number, since it uses less digits than its factorization.

202220101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223172 (or 223170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202220101020 its reverse (20101022202), we get a palindrome (222321123222).

The spelling of 202220101020 in words is "two hundred two billion, two hundred twenty million, one hundred one thousand, twenty".