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1202012002000 = 2453601006001
BaseRepresentation
bin10001011111011101011…
…111111001011011010000
311020220121021122101212001
4101133131133321123100
5124143210033031000
62320110252443344
7152561656303045
oct21373537713320
94226537571761
101202012002000
11423852490a67
12174b5b479554
13894703a4c34
144226b8291cc
152140166e46a
hex117dd7f96d0

1202012002000 has 40 divisors (see below), whose sum is σ = 2906465025672. Its totient is φ = 480804800000.

The previous prime is 1202012001989. The next prime is 1202012002003. The reversal of 1202012002000 is 2002102021.

It can be written as a sum of positive squares in 4 ways, for example, as 352650696336 + 849361305664 = 593844^2 + 921608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202012002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300501001 + ... + 300505000.

Almost surely, 21202012002000 is an apocalyptic number.

1202012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202012002000 is an abundant number, since it is smaller than the sum of its proper divisors (1704453023672).

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

1202012002000 is an equidigital number, since it uses as much as digits as its factorization.

1202012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601006024 (or 601006008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1202012002000 its reverse (2002102021), we get a palindrome (1204014104021).

The spelling of 1202012002000 in words is "one trillion, two hundred two billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 601006001 1202012002 2404024004 3005030005 4808048008 6010060010 9616096016 12020120020 15025150025 24040240040 30050300050 48080480080 60100600100 75125750125 120201200200 150251500250 240402400400 300503000500 601006001000 1202012002000