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1002023330000 = 24547111968491
BaseRepresentation
bin11101001010011010011…
…11101010000011010000
310112210101201200020110012
432211031033222003100
5112404120433030000
62044153445254052
7132252033526220
oct16451517520320
93483351606405
101002023330000
11356a57057750
12142247704328
137364b520c24
14366d9056080
151b0e91d6735
hexe94d3ea0d0

1002023330000 has 400 divisors, whose sum is σ = 3183858839040. Its totient is φ = 295876800000.

The previous prime is 1002023329973. The next prime is 1002023330023. The reversal of 1002023330000 is 333202001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 79 ways as a sum of consecutive naturals, for example, 14595755 + ... + 14664245.

Almost surely, 21002023330000 is an apocalyptic number.

1002023330000 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 1002023330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591929419520).

1002023330000 is an abundant number, since it is smaller than the sum of its proper divisors (2181835509040).

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

1002023330000 is a wasteful number, since it uses less digits than its factorization.

1002023330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68556 (or 68535 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 1002023330000 its reverse (333202001), we get a palindrome (1002356532001).

The spelling of 1002023330000 in words is "one trillion, two billion, twenty-three million, three hundred thirty thousand".