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2001312323100 = 22325217130804727
BaseRepresentation
bin11101000111110111100…
…000101001011000011100
321002022201220012202211100
4131013313200221120130
5230242141423314400
64131220140353100
7264406246031646
oct35076740513034
97068656182740
102001312323100
1170182a6a5632
12283a4b545790
131169523c540c
146cc14c9b896
15370d3304100
hex1d1f782961c

2001312323100 has 108 divisors (see below), whose sum is σ = 6642002478384. Its totient is φ = 502290147840.

The previous prime is 2001312323063. The next prime is 2001312323137. The reversal of 2001312323100 is 13232131002.

2001312323100 is a `hidden beast` number, since 20 + 0 + 1 + 312 + 323 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2001312323063) and next prime (2001312323137).

It is a super-2 number, since 2×20013123231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65387064 + ... + 65417663.

It is an arithmetic number, because the mean of its divisors is an integer number (61500022948).

Almost surely, 22001312323100 is an apocalyptic number.

2001312323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001312323100 is an abundant number, since it is smaller than the sum of its proper divisors (4640690155284).

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

2001312323100 is a wasteful number, since it uses less digits than its factorization.

2001312323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130804764 (or 130804754 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001312323100 its reverse (13232131002), we get a palindrome (2014544454102).

The spelling of 2001312323100 in words is "two trillion, one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 130804727 261609454 392414181 523218908 654023635 784828362 1177242543 1308047270 1569656724 1962070905 2223680359 2354485086 2616094540 3270118175 3924141810 4447360718 4708970172 5886212715 6540236350 6671041077 7848283620 8894721436 9810354525 11118401795 11772425430 13080472700 13342082154 19620709050 20013123231 22236803590 23544850860 26684164308 29431063575 33355205385 39241418100 40026246462 44473607180 55592008975 58862127150 66710410770 80052492924 100065616155 111184017950 117724254300 133420821540 166776026925 200131232310 222368035900 333552053850 400262464620 500328080775 667104107700 1000656161550 2001312323100