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2001211202000 = 245317105156003
BaseRepresentation
bin11101000111110001011…
…110111001100111010000
321002022110211221021202102
4131013301132321213100
5230241440031431000
64131202125135532
7264403610360153
oct35076136714720
97068424837672
102001211202000
1170178860887a
12283a216ba5a8
1311693747b54a
146cc05697c9a
15370c94cc3d5
hex1d1f17b99d0

2001211202000 has 160 divisors (see below), whose sum is σ = 5128538073984. Its totient is φ = 752666880000.

The previous prime is 2001211201999. The next prime is 2001211202009. The reversal of 2001211202000 is 2021121002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211202009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35705999 + ... + 35762001.

Almost surely, 22001211202000 is an apocalyptic number.

2001211202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564269036992).

2001211202000 is an abundant number, since it is smaller than the sum of its proper divisors (3127326871984).

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

2001211202000 is a wasteful number, since it uses less digits than its factorization.

2001211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57094 (or 57078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001211202000 its reverse (2021121002), we get a palindrome (2003232323002).

The spelling of 2001211202000 in words is "two trillion, one billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1051 1360 1700 2000 2102 2125 3400 4204 4250 5255 6800 8408 8500 10510 16816 17000 17867 21020 26275 34000 35734 42040 52550 56003 71468 84080 89335 105100 112006 131375 142936 178670 210200 224012 262750 280015 285872 357340 420400 446675 448024 525500 560030 714680 893350 896048 952051 1051000 1120060 1400075 1429360 1786700 1904102 2102000 2233375 2240120 2800150 3573400 3808204 4466750 4480240 4760255 5600300 7000375 7146800 7616408 8933500 9520510 11200600 14000750 15232816 17867000 19041020 22401200 23801275 28001500 35734000 38082040 47602550 56003000 58859153 76164080 95205100 112006000 117718306 119006375 190410200 235436612 238012750 294295765 380820400 470873224 476025500 588591530 941746448 952051000 1000605601 1177183060 1471478825 1904102000 2001211202 2354366120 2942957650 4002422404 4708732240 5003028005 5885915300 7357394125 8004844808 10006056010 11771830600 14714788250 16009689616 20012112020 23543661200 25015140025 29429576500 40024224040 50030280050 58859153000 80048448080 100060560100 117718306000 125075700125 200121120200 250151400250 400242240400 500302800500 1000605601000 2001211202000