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2011001233300 = 2252731012727521
BaseRepresentation
bin11101010000111001000…
…000111001111110010100
321010020202010121101222021
4131100321000321332110
5230422012303431200
64135501411342524
7265201325305363
oct35207100717624
97106663541867
102011001233300
11705951851234
122858b42b1a44
13117837801187
146d4939a17da
153749dc1241a
hex1d439039f94

2011001233300 has 72 divisors (see below), whose sum is σ = 4467451924152. Its totient is φ = 785525760000.

The previous prime is 2011001233273. The next prime is 2011001233309. The reversal of 2011001233300 is 33321001102.

It can be written as a sum of positive squares in 12 ways, for example, as 19933486596 + 1991067746704 = 141186^2 + 1411052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001233309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626461 + ... + 2101060.

It is an arithmetic number, because the mean of its divisors is an integer number (62047943391).

Almost surely, 22011001233300 is an apocalyptic number.

2011001233300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011001233300 is an abundant number, since it is smaller than the sum of its proper divisors (2456450690852).

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

2011001233300 is a wasteful number, since it uses less digits than its factorization.

2011001233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727709 (or 2727702 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2011001233300 its reverse (33321001102), we get a palindrome (2044322234402).

The spelling of 2011001233300 in words is "two trillion, eleven billion, one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 101 146 202 292 365 404 505 730 1010 1460 1825 2020 2525 3650 5050 7300 7373 10100 14746 29492 36865 73730 147460 184325 368650 737300 2727521 5455042 10910084 13637605 27275210 54550420 68188025 136376050 199109033 272752100 275479621 398218066 550959242 796436132 995545165 1101918484 1377398105 1991090330 2754796210 3982180660 4977725825 5509592420 6886990525 9955451650 13773981050 19910903300 20110012333 27547962100 40220024666 80440049332 100550061665 201100123330 402200246660 502750308325 1005500616650 2011001233300