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131321020000200 = 23352218868366667
BaseRepresentation
bin11101110110111110001110…
…101111111010011111001000
3122012222011111200012101110220
4131312332032233322133020
5114203030422110001300
61143144013241110040
736442426203350442
oct3566761657723710
9565864450171426
10131321020000200
113892aa28292708
121288aa87a88320
135837699477964
14245dd852a5492
15102ae63a6bda0
hex776f8ebfa7c8

131321020000200 has 48 divisors (see below), whose sum is σ = 407095162002480. Its totient is φ = 35018938666560.

The previous prime is 131321020000133. The next prime is 131321020000249. The reversal of 131321020000200 is 2000020123131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131321020000200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109434182734 + ... + 109434183933.

It is an arithmetic number, because the mean of its divisors is an integer number (8481149208385).

Almost surely, 2131321020000200 is an apocalyptic number.

131321020000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321020000200 is an abundant number, since it is smaller than the sum of its proper divisors (275774142002280).

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

131321020000200 is a wasteful number, since it uses less digits than its factorization.

131321020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218868366686 (or 218868366677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131321020000200 its reverse (2000020123131), we get a palindrome (133321040123331).

The spelling of 131321020000200 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 218868366667 437736733334 656605100001 875473466668 1094341833335 1313210200002 1750946933336 2188683666670 2626420400004 3283025500005 4377367333340 5252840800008 5471709166675 6566051000010 8754734666680 10943418333350 13132102000020 16415127500025 21886836666700 26264204000040 32830255000050 43773673333400 65660510000100 131321020000200