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131221233303330 = 2354374041110111
BaseRepresentation
bin11101110101100001010010…
…111111110111111100100010
3122012121121221100220222010010
4131311201102333313330202
5114144412041211201310
61143030111413545350
736432264326414112
oct3565412277677442
9565547840828103
10131221233303330
11388a16812a6395
1212873679645256
13582b155bcc6b1
1424591da6cb042
151028573418320
hex775852ff7f22

131221233303330 has 16 divisors (see below), whose sum is σ = 314930959928064. Its totient is φ = 34992328880880.

The previous prime is 131221233303323. The next prime is 131221233303337. The reversal of 131221233303330 is 33303332122131.

It is an interprime number because it is at equal distance from previous prime (131221233303323) and next prime (131221233303337).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 4374041110111 = 131221233303330 / (1 + 3 + 1 + 2 + 2 + 1 + 2 + 3 + 3 + 3 + 0 + 3 + 3 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (131221233303337) 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 7 ways as a sum of consecutive naturals, for example, 2187020555026 + ... + 2187020555085.

It is an arithmetic number, because the mean of its divisors is an integer number (19683184995504).

Almost surely, 2131221233303330 is an apocalyptic number.

131221233303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221233303330 is an abundant number, since it is smaller than the sum of its proper divisors (183709726624734).

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

131221233303330 is a wasteful number, since it uses less digits than its factorization.

131221233303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374041110121.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 131221233303330 its reverse (33303332122131), we get a palindrome (164524565425461).

The spelling of 131221233303330 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty-three million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 4374041110111 8748082220222 13122123330333 21870205550555 26244246660666 43740411101110 65610616651665 131221233303330