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1202002010000 = 245411101108191
BaseRepresentation
bin10001011111011100111…
…001110001111110010000
311020220120120211202101222
4101133130321301332100
5124143200003310000
62320105254344212
7152561505335621
oct21373471617620
94226516752358
101202002010000
11423847886910
12174b5805b068
138946b2b6bcc
144226a387a48
1521400848a85
hex117dce71f90

1202002010000 has 200 divisors, whose sum is σ = 3206190290688. Its totient is φ = 432760000000.

The previous prime is 1202002009993. The next prime is 1202002010029. The reversal of 1202002010000 is 102002021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1202002010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11055905 + ... + 11164095.

Almost surely, 21202002010000 is an apocalyptic number.

1202002010000 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 1202002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603095145344).

1202002010000 is an abundant number, since it is smaller than the sum of its proper divisors (2004188280688).

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

1202002010000 is a wasteful number, since it uses less digits than its factorization.

1202002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108331 (or 108310 counting only the distinct ones).

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

Adding to 1202002010000 its reverse (102002021), we get a palindrome (1202104012021).

The spelling of 1202002010000 in words is "one trillion, two hundred two billion, two million, ten thousand".