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2100101322000 = 2435311173193953
BaseRepresentation
bin11110100011110111110…
…010110001010100010000
321102202201200010212212110
4132203313302301110100
5233402001414301000
64244435003425320
7304504316463003
oct36436762612420
97382650125773
102100101322000
1173a7144a0680
1229b01b825240
1312306705b256
147390716753a
153996607d850
hex1e8f7cb1510

2100101322000 has 640 divisors, whose sum is σ = 7475269980672. Its totient is φ = 503021568000.

The previous prime is 2100101321959. The next prime is 2100101322023. The reversal of 2100101322000 is 2231010012.

It is a super-2 number, since 2×21001013220002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2203673524 + ... + 2203674476.

Almost surely, 22100101322000 is an apocalyptic number.

2100101322000 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 2100101322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737634990336).

2100101322000 is an abundant number, since it is smaller than the sum of its proper divisors (5375168658672).

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

2100101322000 is a wasteful number, since it uses less digits than its factorization.

2100101322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2100101322000 its reverse (2231010012), we get a palindrome (2102332332012).

The spelling of 2100101322000 in words is "two trillion, one hundred billion, one hundred one million, three hundred twenty-two thousand".