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12002233031300 = 22521272791338609
BaseRepresentation
bin1010111010100111110011…
…0101100001101010000100
31120111101212020220211212102
42232221330311201222010
53033121033124000200
641305425535411232
72346063344323601
oct256517465415204
946441766824772
1012002233031300
113908133715316
12141a143683b18
13690a62217b95
142d6ca83b76a8
1515c313eb46d5
hexaea7cd61a84

12002233031300 has 72 divisors (see below), whose sum is σ = 26259405957120. Its totient is φ = 4761370252800.

The previous prime is 12002233031281. The next prime is 12002233031357. The reversal of 12002233031300 is 313033220021.

12002233031300 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 (20).

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, 35276396 + ... + 35615004.

Almost surely, 212002233031300 is an apocalyptic number.

12002233031300 is a gapful number since it is divisible by the number (10) 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 12002233031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129702978560).

12002233031300 is an abundant number, since it is smaller than the sum of its proper divisors (14257172925820).

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

12002233031300 is a wasteful number, since it uses less digits than its factorization.

12002233031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341541 (or 341534 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12002233031300 its reverse (313033220021), we get a palindrome (12315266251321).

The spelling of 12002233031300 in words is "twelve trillion, two billion, two hundred thirty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 2791 3175 5582 6350 11164 12700 13955 27910 55820 69775 139550 279100 338609 354457 677218 708914 1354436 1417828 1693045 1772285 3386090 3544570 6772180 7089140 8465225 8861425 16930450 17722850 33860900 35445700 43003343 86006686 172013372 215016715 430033430 860066860 945057719 1075083575 1890115438 2150167150 3780230876 4300334300 4725288595 9450577190 18901154380 23626442975 47252885950 94505771900 120022330313 240044660626 480089321252 600111651565 1200223303130 2400446606260 3000558257825 6001116515650 12002233031300