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131211244412200 = 23521799973676147
BaseRepresentation
bin11101110101010111111111…
…100111010001110100101000
3122012120200011020001201111101
4131311113333213101310220
5114144231112032142300
61143021340305211144
736431461645300411
oct3565277747216450
9565520136051441
10131211244412200
1138898415889667
1212871750330ab4
13582a223601724
14245892dc1a808
15102818b501b6a
hex7755ff9d1d28

131211244412200 has 96 divisors (see below), whose sum is σ = 307078200424800. Its totient is φ = 52138925763840.

The previous prime is 131211244412189. The next prime is 131211244412207. The reversal of 131211244412200 is 2214442112131.

It is not an unprimeable number, because it can be changed into a prime (131211244412207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33854527 + ... + 37530673.

It is an arithmetic number, because the mean of its divisors is an integer number (3198731254425).

Almost surely, 2131211244412200 is an apocalyptic number.

131211244412200 is a gapful number since it is divisible by the number (10) 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 131211244412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153539100212400).

131211244412200 is an abundant number, since it is smaller than the sum of its proper divisors (175866956012600).

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

131211244412200 is a wasteful number, since it uses less digits than its factorization.

131211244412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677339 (or 3677330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131211244412200 its reverse (2214442112131), we get a palindrome (133425686524331).

The spelling of 131211244412200 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred forty-four million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 997 1432 1790 1994 3580 3988 4475 4985 7160 7976 8950 9970 17900 19940 24925 35800 39880 49850 99700 178463 199400 356926 713852 892315 1427704 1784630 3569260 3676147 4461575 7138520 7352294 8923150 14704588 17846300 18380735 29409176 35692600 36761470 73522940 91903675 147045880 183807350 367614700 658030313 735229400 1316060626 2632121252 3290151565 3665118559 5264242504 6580303130 7330237118 13160606260 14660474236 16450757825 18325592795 26321212520 29320948472 32901515650 36651185590 65803031300 73302371180 91627963975 131606062600 146604742360 183255927950 366511855900 656056222061 733023711800 1312112444122 2624224888244 3280281110305 5248449776488 6560562220610 13121124441220 16401405551525 26242248882440 32802811103050 65605622206100 131211244412200