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1002021109980 = 22351171109196177
BaseRepresentation
bin11101001010011010001…
…11001100000011011100
310112210101120111110011020
432211031013030003130
5112404114401004410
62044153325524140
7132252005621652
oct16451507140334
93483346443136
101002021109980
11356a55880820
12142246a13650
137364ac245c7
14366d8a38dd2
151b0e8de8a70
hexe94d1cc0dc

1002021109980 has 192 divisors, whose sum is σ = 3132319196160. Its totient is φ = 237294489600.

The previous prime is 1002021109877. The next prime is 1002021109993. The reversal of 1002021109980 is 899011202001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5009652 + ... + 5205828.

It is an arithmetic number, because the mean of its divisors is an integer number (16314162480).

Almost surely, 21002021109980 is an apocalyptic number.

1002021109980 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 1002021109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566159598080).

1002021109980 is an abundant number, since it is smaller than the sum of its proper divisors (2130298086180).

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

1002021109980 is a wasteful number, since it uses less digits than its factorization.

1002021109980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196380 (or 196378 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 1002021109980 in words is "one trillion, two billion, twenty-one million, one hundred nine thousand, nine hundred eighty".