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102002100112020 = 22351700035001867
BaseRepresentation
bin10111001100010100110110…
…111100011000101010010100
3111101011022020201220010100110
4113030110312330120222110
5101332200300112041040
61000535041244243020
730325260062252013
oct2714246674305224
9441138221803313
10102002100112020
112a556936362229
12b534834b40470
1344bb9ab807144
141b28cdc57aa7a
15bbd496d37980
hex5cc536f18a94

102002100112020 has 24 divisors (see below), whose sum is σ = 285605880313824. Its totient is φ = 27200560029856.

The previous prime is 102002100111911. The next prime is 102002100112021. The reversal of 102002100112020 is 20211001200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102002100111987 and 102002100112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002100112021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 850017500874 + ... + 850017500993.

It is an arithmetic number, because the mean of its divisors is an integer number (11900245013076).

Almost surely, 2102002100112020 is an apocalyptic number.

102002100112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002100112020 is an abundant number, since it is smaller than the sum of its proper divisors (183603780201804).

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

102002100112020 is a wasteful number, since it uses less digits than its factorization.

102002100112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700035001879 (or 1700035001877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002100112020 its reverse (20211001200201), we get a palindrome (122213101312221).

The spelling of 102002100112020 in words is "one hundred two trillion, two billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1700035001867 3400070003734 5100105005601 6800140007468 8500175009335 10200210011202 17000350018670 20400420022404 25500525028005 34000700037340 51001050056010 102002100112020