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1021312003200 = 27352106386667
BaseRepresentation
bin11101101110010101111…
…00000110110010000000
310121122011222201100202220
432313022330012302000
5113213121333100300
62101103444411040
7133534030535106
oct16671274066200
93548158640686
101021312003200
11364155000385
12145b2b3a6a80
1375403721a18
1437608a95c76
151b877793da0
hexedcaf06c80

1021312003200 has 96 divisors (see below), whose sum is σ = 3363946442160. Its totient is φ = 272349864960.

The previous prime is 1021312003183. The next prime is 1021312003247. The reversal of 1021312003200 is 23002131201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021312003200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53183734 + ... + 53202933.

Almost surely, 21021312003200 is an apocalyptic number.

1021312003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021312003200 is an abundant number, since it is smaller than the sum of its proper divisors (2342634438960).

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

1021312003200 is a wasteful number, since it uses less digits than its factorization.

1021312003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106386694 (or 106386677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1021312003200 its reverse (23002131201), we get a palindrome (1044314134401).

The spelling of 1021312003200 in words is "one trillion, twenty-one billion, three hundred twelve million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 106386667 212773334 319160001 425546668 531933335 638320002 851093336 1063866670 1276640004 1595800005 1702186672 2127733340 2553280008 2659666675 3191600010 3404373344 4255466680 5106560016 5319333350 6383200020 6808746688 7979000025 8510933360 10213120032 10638666700 12766400040 13617493376 15958000050 17021866720 20426240064 21277333400 25532800080 31916000100 34043733440 40852480128 42554666800 51065600160 63832000200 68087466880 85109333600 102131200320 127664000400 170218667200 204262400640 255328000800 340437334400 510656001600 1021312003200