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10012220200000 = 2655293170857
BaseRepresentation
bin1001000110110010011011…
…0101000001010001000000
31022110011021211200201210101
42101230212311001101000
52303020011332400000
633143314522212144
72052234102336454
oct221544665012100
938404254621711
1010012220200000
113210182315167
121158528354054
135781c0aca7b5
142688460aa664
15125692bace6a
hex91b26d41440

10012220200000 has 168 divisors, whose sum is σ = 24918311391624. Its totient is φ = 3991196160000.

The previous prime is 10012220199973. The next prime is 10012220200027. The reversal of 10012220200000 is 202221001.

It is an interprime number because it is at equal distance from previous prime (10012220199973) and next prime (10012220200027).

It can be written as a sum of positive squares in 12 ways, for example, as 6823881409536 + 3188338790464 = 2612256^2 + 1785592^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10012220200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58514572 + ... + 58685428.

It is an arithmetic number, because the mean of its divisors is an integer number (148323282093).

Almost surely, 210012220200000 is an apocalyptic number.

10012220200000 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 10012220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459155695812).

10012220200000 is an abundant number, since it is smaller than the sum of its proper divisors (14906091191624).

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

10012220200000 is an frugal number, since it uses more digits than its factorization.

10012220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171187 (or 171157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10012220200000 its reverse (202221001), we get a palindrome (10012422421001).

The spelling of 10012220200000 in words is "ten trillion, twelve billion, two hundred twenty million, two hundred thousand".