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131221320312 = 23321146435581
BaseRepresentation
bin111101000110101100…
…1100111001001111000
3110112201001001202010110
41322031121213021320
54122220124222222
6140140544144320
712323533550655
oct1721531471170
9415631052113
10131221320312
1150718018165
12215219080a0
13c4b2c22384
1464cb788c2c
1536301b130c
hex1e8d667278

131221320312 has 64 divisors (see below), whose sum is σ = 329738117760. Its totient is φ = 43515964800.

The previous prime is 131221320311. The next prime is 131221320319. The reversal of 131221320312 is 213023122131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221320311) 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, 23509362 + ... + 23514942.

It is an arithmetic number, because the mean of its divisors is an integer number (5152158090).

Almost surely, 2131221320312 is an apocalyptic number.

131221320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131221320312 is an abundant number, since it is smaller than the sum of its proper divisors (198516797448).

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

131221320312 is a wasteful number, since it uses less digits than its factorization.

131221320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10444 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131221320312 its reverse (213023122131), we get a palindrome (344244442443).

The spelling of 131221320312 in words is "one hundred thirty-one billion, two hundred twenty-one million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 211 422 633 844 1266 1688 2532 4643 5064 5581 9286 11162 13929 16743 18572 22324 27858 33486 37144 44648 55716 66972 111432 133944 979673 1177591 1959346 2355182 2939019 3532773 3918692 4710364 5878038 7065546 7837384 9420728 11756076 14131092 23512152 25912583 28262184 51825166 77737749 103650332 155475498 207300664 310950996 621901992 5467555013 10935110026 16402665039 21870220052 32805330078 43740440104 65610660156 131221320312