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131112202200 = 233527104929759
BaseRepresentation
bin111101000011011100…
…1010110111111011000
3110112102102201222012220
41322012321112333120
54122004210432300
6140122045304040
712321040221240
oct1720671267730
9415372658186
10131112202200
1150671469101
12214b1265020
13c496438545
1464bb0a2b20
153625809da0
hex1e86e56fd8

131112202200 has 192 divisors, whose sum is σ = 464970240000. Its totient is φ = 29938928640.

The previous prime is 131112202163. The next prime is 131112202201. The reversal of 131112202200 is 2202211131.

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 131112202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112202201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4390921 + ... + 4420679.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720000).

Almost surely, 2131112202200 is an apocalyptic number.

131112202200 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 131112202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120000).

131112202200 is an abundant number, since it is smaller than the sum of its proper divisors (333858037800).

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

131112202200 is a wasteful number, since it uses less digits than its factorization.

131112202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30834 (or 30825 counting only the distinct ones).

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

Adding to 131112202200 its reverse (2202211131), we get a palindrome (133314413331).

The spelling of 131112202200 in words is "one hundred thirty-one billion, one hundred twelve million, two hundred two thousand, two hundred".