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1101997218000 = 243537106324683
BaseRepresentation
bin10000000010010100001…
…001110001100011010000
310220100110002011221202210
4100002110021301203100
5121023342241434000
62202130040512120
7142421342541360
oct20022411614320
93810402157683
101101997218000
11395399778488
121596a877b640
137cbc17ba283
143b4a083a9a0
151d9eaeb4350
hex100942718d0

1101997218000 has 320 divisors, whose sum is σ = 4064371863552. Its totient is φ = 251637926400.

The previous prime is 1101997217999. The next prime is 1101997218017. The reversal of 1101997218000 is 8127991011.

It is a self number, because there is not a number n which added to its sum of digits gives 1101997218000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44633659 + ... + 44658341.

Almost surely, 21101997218000 is an apocalyptic number.

1101997218000 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 1101997218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032185931776).

1101997218000 is an abundant number, since it is smaller than the sum of its proper divisors (2962374645552).

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

1101997218000 is a wasteful number, since it uses less digits than its factorization.

1101997218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25779 (or 25763 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 39.

The spelling of 1101997218000 in words is "one trillion, one hundred one billion, nine hundred ninety-seven million, two hundred eighteen thousand".