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2012003132200 = 235215541647321
BaseRepresentation
bin11101010001110100101…
…110110110001100101000
321010100022221212010212221
4131101310232312030220
5230431040300212300
64140145041443424
7265235212305415
oct35216456661450
97110287763787
102012003132200
11706316351756
12285b33940574
13117967254769
146d54aa8510c
153750bb6b31a
hex1d474bb6328

2012003132200 has 48 divisors (see below), whose sum is σ = 4678215513660. Its totient is φ = 804748224000.

The previous prime is 2012003132159. The next prime is 2012003132203. The reversal of 2012003132200 is 22313002102.

It can be written as a sum of positive squares in 6 ways, for example, as 975104900676 + 1036898231524 = 987474^2 + 1018282^2 .

It is a super-2 number, since 2×20120031322002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012003132203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2784540 + ... + 3431860.

Almost surely, 22012003132200 is an apocalyptic number.

2012003132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012003132200 is an abundant number, since it is smaller than the sum of its proper divisors (2666212381460).

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

2012003132200 is a wasteful number, since it uses less digits than its factorization.

2012003132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662878 (or 662869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2012003132200 its reverse (22313002102), we get a palindrome (2034316134302).

The spelling of 2012003132200 in words is "two trillion, twelve billion, three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 15541 31082 62164 77705 124328 155410 310820 388525 621640 647321 777050 1294642 1554100 2589284 3108200 3236605 5178568 6473210 12946420 16183025 25892840 32366050 64732100 129464200 10060015661 20120031322 40240062644 50300078305 80480125288 100600156610 201200313220 251500391525 402400626440 503000783050 1006001566100 2012003132200