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131201113032 = 233211165657971
BaseRepresentation
bin111101000110000110…
…0100001101111001000
3110112122122001002221200
41322030030201233020
54122144441104112
6140134543104200
712323200026423
oct1721414415710
9415578032850
10131201113032
1150707676130
1221516ba2060
13c4ab9987c2
1464c8c089ba
15362d51dcdc
hex1e8c321bc8

131201113032 has 48 divisors (see below), whose sum is σ = 387639654480. Its totient is φ = 39757912800.

The previous prime is 131201113013. The next prime is 131201113081. The reversal of 131201113032 is 230311102131.

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 = 131201112996 and 131201113014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82828194 + ... + 82829777.

It is an arithmetic number, because the mean of its divisors is an integer number (8075826135).

Almost surely, 2131201113032 is an apocalyptic number.

131201113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131201113032 is an abundant number, since it is smaller than the sum of its proper divisors (256438541448).

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

131201113032 is a wasteful number, since it uses less digits than its factorization.

131201113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165657994 (or 165657987 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131201113032 its reverse (230311102131), we get a palindrome (361512215163).

The spelling of 131201113032 in words is "one hundred thirty-one billion, two hundred one million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 165657971 331315942 496973913 662631884 993947826 1325263768 1490921739 1822237681 1987895652 2981843478 3644475362 3975791304 5466713043 5963686956 7288950724 10933426086 11927373912 14577901448 16400139129 21866852172 32800278258 43733704344 65600556516 131201113032