Search a number
-
+
12200103303200 = 255241371954369
BaseRepresentation
bin1011000110001000111011…
…0100101101100000100000
31121012022121011202010122022
42301202032310231200200
53044341302421200300
641540352230201012
72366266635020021
oct261421664554040
947168534663568
1012200103303200
11398404229324a
121450565ab3168
136a660723abc7
143026b96b0c48
1516254549d285
hexb188ed2d820

12200103303200 has 72 divisors (see below), whose sum is σ = 30509929153620. Its totient is φ = 4761015910400.

The previous prime is 12200103303197. The next prime is 12200103303253. The reversal of 12200103303200 is 230330100221.

It can be written as a sum of positive squares in 6 ways, for example, as 3317629102096 + 8882474201104 = 1821436^2 + 2980348^2 .

It is a super-2 number, since 2×122001033032002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185944385 + ... + 186009984.

Almost surely, 212200103303200 is an apocalyptic number.

12200103303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200103303200 is an abundant number, since it is smaller than the sum of its proper divisors (18309825850420).

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

12200103303200 is a wasteful number, since it uses less digits than its factorization.

12200103303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371954430 (or 371954417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12200103303200 its reverse (230330100221), we get a palindrome (12430433403421).

The spelling of 12200103303200 in words is "twelve trillion, two hundred billion, one hundred three million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 16400 32800 371954369 743908738 1487817476 1859771845 2975634952 3719543690 5951269904 7439087380 9298859225 11902539808 14878174760 15250129129 18597718450 29756349520 30500258258 37195436900 59512699040 61000516516 74390873800 76250645645 122001033032 148781747600 152501291290 244002066064 297563495200 305002582580 381253228225 488004132128 610005165160 762506456450 1220010330320 1525012912900 2440020660640 3050025825800 6100051651600 12200103303200