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131201133030 = 232511132526397
BaseRepresentation
bin111101000110000110…
…0100110100111100110
3110112122122002010101100
41322030030212213212
54122144442224110
6140134543340530
712323200141632
oct1721414464746
9415578063340
10131201133030
115070768a160
1221516bb1746
13c4ab9a4936
1464c8c11dc2
15362d524bc0
hex1e8c3269e6

131201133030 has 48 divisors (see below), whose sum is σ = 372134125584. Its totient is φ = 31806335040.

The previous prime is 131201132999. The next prime is 131201133031. The reversal of 131201133030 is 30331102131.

It is a happy number.

131201133030 is a `hidden beast` number, since 131 + 201 + 1 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131201132994 and 131201133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66262209 + ... + 66264188.

It is an arithmetic number, because the mean of its divisors is an integer number (7752794283).

Almost surely, 2131201133030 is an apocalyptic number.

131201133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131201133030 is an abundant number, since it is smaller than the sum of its proper divisors (240932992554).

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

131201133030 is a wasteful number, since it uses less digits than its factorization.

131201133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132526421 (or 132526418 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131201133030 its reverse (30331102131), we get a palindrome (161532235161).

The spelling of 131201133030 in words is "one hundred thirty-one billion, two hundred one million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 132526397 265052794 397579191 662631985 795158382 1192737573 1325263970 1457790367 1987895955 2385475146 2915580734 3975791910 4373371101 5963687865 7288951835 8746742202 11927375730 13120113303 14577903670 21866855505 26240226606 43733711010 65600566515 131201133030