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12002003201300 = 2252737463397807
BaseRepresentation
bin1010111010100110111100…
…1000110010110100010100
31120111101021020110021101012
42232221233020302310110
53033120100304420200
641305351045351352
72346054553646360
oct256515710626424
946441236407335
1012002003201300
113908025a08672
12141a09a708558
13690a267180b8
142d6c85a6c2a0
1515c2edc16a35
hexaea6f232d14

12002003201300 has 72 divisors (see below), whose sum is σ = 30569426598144. Its totient is φ = 4003757043840.

The previous prime is 12002003201297. The next prime is 12002003201369. The reversal of 12002003201300 is 310230020021.

It is a happy number.

12002003201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231673004 + ... + 231724803.

Almost surely, 212002003201300 is an apocalyptic number.

12002003201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002003201300 is an abundant number, since it is smaller than the sum of its proper divisors (18567423396844).

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

12002003201300 is a wasteful number, since it uses less digits than its factorization.

12002003201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463397865 (or 463397858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12002003201300 its reverse (310230020021), we get a palindrome (12312233221321).

The spelling of 12002003201300 in words is "twelve trillion, two billion, three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12950 25900 463397807 926795614 1853591228 2316989035 3243784649 4633978070 6487569298 9267956140 11584945175 12975138596 16218923245 17145718859 23169890350 32437846490 34291437718 46339780700 64875692980 68582875436 81094616225 85728594295 120020032013 162189232450 171457188590 240040064026 324378464900 342914377180 428642971475 480080128052 600100160065 857285942950 1200200320130 1714571885900 2400400640260 3000500800325 6001001600650 12002003201300