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131331000302200 = 23522330792997451
BaseRepresentation
bin11101110111000111100001…
…100111101111101001111000
3122020000010021012220021000201
4131313013201213233221320
5114203211342034132300
61143152343441411544
736443231421462016
oct3567074147575170
9566003235807021
10131331000302200
1138934189973286
12128909b2339bb4
1358385ca0592ba
14246065097b8b6
15102b349d3866a
hex7771e19efa78

131331000302200 has 96 divisors (see below), whose sum is σ = 319658281810560. Its totient is φ = 50084706672000.

The previous prime is 131331000302153. The next prime is 131331000302207. The reversal of 131331000302200 is 2203000133131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331000302207) 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, 45086526 + ... + 47910925.

It is an arithmetic number, because the mean of its divisors is an integer number (3329773768860).

Almost surely, 2131331000302200 is an apocalyptic number.

131331000302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331000302200 is an abundant number, since it is smaller than the sum of its proper divisors (188327281508360).

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

131331000302200 is a wasteful number, since it uses less digits than its factorization.

131331000302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92997797 (or 92997788 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131331000302200 its reverse (2203000133131), we get a palindrome (133534000435331).

The spelling of 131331000302200 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 307 460 575 614 920 1150 1228 1535 2300 2456 3070 4600 6140 7061 7675 12280 14122 15350 28244 30700 35305 56488 61400 70610 141220 176525 282440 353050 706100 1412200 92997451 185994902 371989804 464987255 743979608 929974510 1859949020 2138941373 2324936275 3719898040 4277882746 4649872550 8555765492 9299745100 10694706865 17111530984 18599490200 21389413730 28550217457 42778827460 53473534325 57100434914 85557654920 106947068650 114200869828 142751087285 213894137300 228401739656 285502174570 427788274600 571004349140 656655001511 713755436425 1142008698280 1313310003022 1427510872850 2626620006044 2855021745700 3283275007555 5253240012088 5710043491400 6566550015110 13133100030220 16416375037775 26266200060440 32832750075550 65665500151100 131331000302200