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131231330232 = 23341379351887
BaseRepresentation
bin111101000110111111…
…1110010111110111000
3110112201201220022011020
41322031333302332320
54122230210031412
6140141542502440
712324014621262
oct1721577627670
9415651808136
10131231330232
1150722734822
1221525134a20
13c4b50185c2
1464ccc32b32
153630edc18c
hex1e8dff2fb8

131231330232 has 64 divisors (see below), whose sum is σ = 336967948800. Its totient is φ = 42564130560.

The previous prime is 131231330183. The next prime is 131231330239. The reversal of 131231330232 is 232033132131.

131231330232 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231330239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196993 + ... + 548879.

It is an arithmetic number, because the mean of its divisors is an integer number (5265124200).

Almost surely, 2131231330232 is an apocalyptic number.

131231330232 is a gapful number since it is divisible by the number (12) 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 131231330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168483974400).

131231330232 is an abundant number, since it is smaller than the sum of its proper divisors (205736618568).

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

131231330232 is a wasteful number, since it uses less digits than its factorization.

131231330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352316 (or 352312 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131231330232 its reverse (232033132131), we get a palindrome (363264462363).

The spelling of 131231330232 in words is "one hundred thirty-one billion, two hundred thirty-one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 379 492 758 984 1137 1516 2274 3032 4548 9096 15539 31078 46617 62156 93234 124312 186468 351887 372936 703774 1055661 1407548 2111322 2815096 4222644 8445288 14427367 28854734 43282101 57709468 86564202 115418936 133365173 173128404 266730346 346256808 400095519 533460692 800191038 1066921384 1600382076 3200764152 5467972093 10935944186 16403916279 21871888372 32807832558 43743776744 65615665116 131231330232