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1202001002000 = 2453601000501
BaseRepresentation
bin10001011111011100110…
…101111011111000010000
311020220120111221112200122
4101133130311323320100
5124143144224031000
62320105221005412
7152561463640061
oct21373465737020
94226514845618
101202001002000
11423847258557
12174b57853868
138946b023166
144226a1a4568
15214006ea085
hex117dcd7be10

1202001002000 has 40 divisors (see below), whose sum is σ = 2906438427672. Its totient is φ = 480800400000.

The previous prime is 1202001001991. The next prime is 1202001002029. The reversal of 1202001002000 is 2001002021.

It can be written as a sum of positive squares in 4 ways, for example, as 151925330176 + 1050075671824 = 389776^2 + 1024732^2 .

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

It is a super-3 number, since 3×12020010020003 (a number of 37 digits) contains 333 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 300498251 + ... + 300502250.

Almost surely, 21202001002000 is an apocalyptic number.

1202001002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202001002000 is an abundant number, since it is smaller than the sum of its proper divisors (1704437425672).

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

1202001002000 is an equidigital number, since it uses as much as digits as its factorization.

1202001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601000524 (or 601000508 counting only the distinct ones).

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

Adding to 1202001002000 its reverse (2001002021), we get a palindrome (1204002004021).

The spelling of 1202001002000 in words is "one trillion, two hundred two billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 601000501 1202001002 2404002004 3005002505 4808004008 6010005010 9616008016 12020010020 15025012525 24040020040 30050025050 48080040080 60100050100 75125062625 120200100200 150250125250 240400200400 300500250500 601000501000 1202001002000