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131220010321 = 433413894119
BaseRepresentation
bin111101000110101010…
…0100111010101010001
3110112200221121012011021
41322031110213111101
54122214310312241
6140140500115441
712323516453521
oct1721524472521
9415627535137
10131220010321
1150717302a24
1221521395b81
13c4b288402a
1464cb527681
1536300030d1
hex1e8d527551

131220010321 has 8 divisors (see below), whose sum is σ = 134311129920. Its totient is φ = 128130685872.

The previous prime is 131220010307. The next prime is 131220010357. The reversal of 131220010321 is 123010022131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131220010321 - 217 = 131219879249 is a prime.

It is a super-2 number, since 2×1312200103212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131220010295 and 131220010304.

It is not an unprimeable number, because it can be changed into a prime (131220010381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300301 + ... + 593818.

It is an arithmetic number, because the mean of its divisors is an integer number (16788891240).

Almost surely, 2131220010321 is an apocalyptic number.

It is an amenable number.

131220010321 is a deficient number, since it is larger than the sum of its proper divisors (3091119599).

131220010321 is an equidigital number, since it uses as much as digits as its factorization.

131220010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897575.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131220010321 its reverse (123010022131), we get a palindrome (254230032452).

The spelling of 131220010321 in words is "one hundred thirty-one billion, two hundred twenty million, ten thousand, three hundred twenty-one".

Divisors: 1 43 3413 146759 894119 38447117 3051628147 131220010321