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10021002002220 = 22351129881594283
BaseRepresentation
bin1001000111010011001001…
…0000111011111100101100
31022110222221212012111201110
42101310302100323330230
52303141003003032340
633151330150512020
72052664525411416
oct221646220737454
938428855174643
1010021002002220
113213979424150
12115a179365610
13578c902c1781
1426903a5239b6
15125a08b38680
hex91d3243bf2c

10021002002220 has 192 divisors, whose sum is σ = 31701105354240. Its totient is φ = 2342897356800.

The previous prime is 10021002002201. The next prime is 10021002002239. The reversal of 10021002002220 is 2220020012001.

10021002002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021002002201) and next prime (10021002002239).

It is a super-2 number, since 2×100210020022202 (a number of 27 digits) contains 22 as substring.

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 = 10021002002196 and 10021002002205.

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, 16565199 + ... + 17159481.

It is an arithmetic number, because the mean of its divisors is an integer number (165109923720).

Almost surely, 210021002002220 is an apocalyptic number.

10021002002220 is a gapful number since it is divisible by the number (10) 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 10021002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850552677120).

10021002002220 is an abundant number, since it is smaller than the sum of its proper divisors (21680103352020).

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

10021002002220 is a wasteful number, since it uses less digits than its factorization.

10021002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595216 (or 595214 counting only the distinct ones).

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

Adding to 10021002002220 its reverse (2220020012001), we get a palindrome (12241022014221).

The spelling of 10021002002220 in words is "ten trillion, twenty-one billion, two million, two thousand, two hundred twenty".