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2032142020000 = 2554101607101
BaseRepresentation
bin11101100100100101000…
…110100110110110100000
321012021022110201122101021
4131210211012212312200
5231243311324120000
64153315252015224
7266550242111131
oct35444506466640
97167273648337
102032142020000
11713910213184
12289a14301514
1311982663a411
14704db5a1c88
1537cd9bbe11a
hex1d9251a6da0

2032142020000 has 60 divisors (see below), whose sum is σ = 4999374239706. Its totient is φ = 812856800000.

The previous prime is 2032142019979. The next prime is 2032142020009. The reversal of 2032142020000 is 202412302.

It can be written as a sum of positive squares in 5 ways, for example, as 133467470224 + 1898674549776 = 365332^2 + 1377924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2032142020009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 50783551 + ... + 50823550.

Almost surely, 22032142020000 is an apocalyptic number.

2032142020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032142020000 is an abundant number, since it is smaller than the sum of its proper divisors (2967232219706).

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

2032142020000 is an equidigital number, since it uses as much as digits as its factorization.

2032142020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101607131 (or 101607108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2032142020000 its reverse (202412302), we get a palindrome (2032344432302).

The spelling of 2032142020000 in words is "two trillion, thirty-two billion, one hundred forty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 101607101 203214202 406428404 508035505 812856808 1016071010 1625713616 2032142020 2540177525 3251427232 4064284040 5080355050 8128568080 10160710100 12700887625 16257136160 20321420200 25401775250 40642840400 50803550500 63504438125 81285680800 101607101000 127008876250 203214202000 254017752500 406428404000 508035505000 1016071010000 2032142020000