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131212210200 = 233521911509843
BaseRepresentation
bin111101000110011011…
…0110111000000011000
3110112200101220220101220
41322030312313000120
54122210311211300
6140140021012040
712323363245611
oct1721466670030
9415611826356
10131212210200
1150712965645
122151a854020
13c4b1082886
1464ca496c08
15362e4b1da0
hex1e8cdb7018

131212210200 has 96 divisors (see below), whose sum is σ = 428166196800. Its totient is φ = 33148344960.

The previous prime is 131212210163. The next prime is 131212210223. The reversal of 131212210200 is 2012212131.

131212210200 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131212210200.

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, 5743522 + ... + 5766321.

It is an arithmetic number, because the mean of its divisors is an integer number (4460064550).

Almost surely, 2131212210200 is an apocalyptic number.

131212210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212210200 is an abundant number, since it is smaller than the sum of its proper divisors (296953986600).

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

131212210200 is a wasteful number, since it uses less digits than its factorization.

131212210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509881 (or 11509872 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131212210200 its reverse (2012212131), we get a palindrome (133224422331).

The spelling of 131212210200 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 11509843 23019686 34529529 46039372 57549215 69059058 92078744 115098430 138118116 172647645 218687017 230196860 276236232 287746075 345295290 437374034 460393720 575492150 656061051 690590580 863238225 874748068 1093435085 1150984300 1312122102 1381181160 1726476450 1749496136 2186870170 2301968600 2624244204 3280305255 3452952900 4373740340 5248488408 5467175425 6560610510 6905905800 8747480680 10934350850 13121221020 16401526275 21868701700 26242442040 32803052550 43737403400 65606105100 131212210200