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2122030113000 = 233537266121839
BaseRepresentation
bin11110111000010010110…
…110011110000011101000
321111212022221000212221220
4132320102312132003220
5234231404202104000
64302502553502040
7306211612231200
oct36702266360350
97455287025856
102122030113000
11748a4774a946
122a331b711920
1312515020a325
14749c768d400
153a2eb2e31a0
hex1ee12d9e0e8

2122030113000 has 384 divisors, whose sum is σ = 7713674841600. Its totient is φ = 484279488000.

The previous prime is 2122030112987. The next prime is 2122030113019. The reversal of 2122030113000 is 3110302212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 97156081 + ... + 97177919.

It is an arithmetic number, because the mean of its divisors is an integer number (20087694900).

Almost surely, 22122030113000 is an apocalyptic number.

2122030113000 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 2122030113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856837420800).

2122030113000 is an abundant number, since it is smaller than the sum of its proper divisors (5591644728600).

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

2122030113000 is a wasteful number, since it uses less digits than its factorization.

2122030113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22538 (or 22517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2122030113000 its reverse (3110302212), we get a palindrome (2125140415212).

The spelling of 2122030113000 in words is "two trillion, one hundred twenty-two billion, thirty million, one hundred thirteen thousand".