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22010021000000 = 26561121011801
BaseRepresentation
bin1010000000100100110110…
…11110111011001101000000
32212221010201012120220022222
411000102123132323031000
510341103010334000000
6114451133011550212
74431112560434255
oct500223336731500
985833635526288
1022010021000000
117016441066500
1225758335bb368
13c386c79a8bb7
1456140d97942c
152827e79bda85
hex14049b7bb340

22010021000000 has 588 divisors, whose sum is σ = 60636594232284. Its totient is φ = 7920000000000.

The previous prime is 22010020999907. The next prime is 22010021000083. The reversal of 22010021000000 is 12001022.

It can be written as a sum of positive squares in 14 ways, for example, as 19547858319616 + 2462162680384 = 4421296^2 + 1569128^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12220999100 + ... + 12221000900.

Almost surely, 222010021000000 is an apocalyptic number.

22010021000000 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 22010021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30318297116142).

22010021000000 is an abundant number, since it is smaller than the sum of its proper divisors (38626573232284).

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

22010021000000 is an equidigital number, since it uses as much as digits as its factorization.

22010021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22010021000000 its reverse (12001022), we get a palindrome (22010033001022).

The spelling of 22010021000000 in words is "twenty-two trillion, ten billion, twenty-one million", and thus it is an aban number and an uban number.