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2002101231200 = 255272137372803
BaseRepresentation
bin11101001000100110100…
…010000101111001100000
321002101202212200110021212
4131020212202011321200
5230300300403344300
64131430321405252
7264434635450400
oct35104642057140
97071685613255
102002101231200
117020a4a4a9a4
1228402b799828
13116a49993745
146cc8b97a800
153712c6d9935
hex1d226885e60

2002101231200 has 216 divisors, whose sum is σ = 5727126143592. Its totient is φ = 681422407680.

The previous prime is 2002101231103. The next prime is 2002101231241. The reversal of 2002101231200 is 21321012002.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5183999 + ... + 5556801.

It is an arithmetic number, because the mean of its divisors is an integer number (26514472887).

Almost surely, 22002101231200 is an apocalyptic number.

2002101231200 is a gapful number since it is divisible by the number (20) 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 2002101231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863563071796).

2002101231200 is an abundant number, since it is smaller than the sum of its proper divisors (3725024912392).

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

2002101231200 is a wasteful number, since it uses less digits than its factorization.

2002101231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372974 (or 372954 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2002101231200 its reverse (21321012002), we get a palindrome (2023422243202).

The spelling of 2002101231200 in words is "two trillion, two billion, one hundred one million, two hundred thirty-one thousand, two hundred".