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1001021202000 = 243253208726647
BaseRepresentation
bin11101001000100011000…
…00110101111001010000
310112200210212222212021100
432210101200311321100
5112400042411431000
62043510210224400
7132215144553231
oct16442140657120
93480725885240
101001021202000
11356592410096
12142007b85100
137351ba1a291
1436641d13088
151b08b234a00
hexe911835e50

1001021202000 has 240 divisors, whose sum is σ = 3498039896832. Its totient is φ = 266801068800.

The previous prime is 1001021201993. The next prime is 1001021202047. The reversal of 1001021202000 is 2021201001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37552677 + ... + 37579323.

Almost surely, 21001021202000 is an apocalyptic number.

1001021202000 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 1001021202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749019948416).

1001021202000 is an abundant number, since it is smaller than the sum of its proper divisors (2497018694832).

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

1001021202000 is a wasteful number, since it uses less digits than its factorization.

1001021202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28763 (or 28744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001021202000 its reverse (2021201001), we get a palindrome (1003042403001).

Subtracting from 1001021202000 its reverse (2021201001), we obtain a palindrome (999000000999).

It can be divided in two parts, 1001021 and 202000, that added together give a palindrome (1203021).

The spelling of 1001021202000 in words is "one trillion, one billion, twenty-one million, two hundred two thousand".