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131213333232 = 243210966112647
BaseRepresentation
bin111101000110011101…
…1001001001011110000
3110112200111000221220200
41322030323021023300
54122211103130412
6140140101035200
712323405634012
oct1721473111360
9415614027820
10131213333232
1150713562373
122151b0b5b00
13c4b1386aa7
1464ca6aa1b2
15362e6349dc
hex1e8cec92f0

131213333232 has 120 divisors (see below), whose sum is σ = 371174026080. Its totient is φ = 43267530240.

The previous prime is 131213333231. The next prime is 131213333267. The reversal of 131213333232 is 232333312131.

131213333232 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 333 + 323 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131213333196 and 131213333205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213333231) 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, 10368733 + ... + 10381379.

It is an arithmetic number, because the mean of its divisors is an integer number (3093116884).

Almost surely, 2131213333232 is an apocalyptic number.

131213333232 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 131213333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185587013040).

131213333232 is an abundant number, since it is smaller than the sum of its proper divisors (239960692848).

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

131213333232 is a wasteful number, since it uses less digits than its factorization.

131213333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431 (or 13422 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131213333232 its reverse (232333312131), we get a palindrome (363546645363).

The spelling of 131213333232 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 661 872 981 1308 1322 1744 1962 1983 2616 2644 3924 3966 5232 5288 5949 7848 7932 10576 11898 12647 15696 15864 23796 25294 31728 37941 47592 50588 72049 75882 95184 101176 113823 144098 151764 202352 216147 227646 288196 303528 432294 455292 576392 607056 648441 864588 910584 1152784 1296882 1378523 1729176 1821168 2593764 2757046 3458352 4135569 5187528 5514092 8271138 8359667 10375056 11028184 12406707 16542276 16719334 22056368 24813414 25079001 33084552 33438668 49626828 50158002 66169104 66877336 75237003 99253656 100316004 133754672 150474006 198507312 200632008 300948012 401264016 601896024 911203703 1203792048 1822407406 2733611109 3644814812 5467222218 7289629624 8200833327 10934444436 14579259248 16401666654 21868888872 32803333308 43737777744 65606666616 131213333232