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131132132201 = 767279599429
BaseRepresentation
bin111101000100000010…
…1011000101101101001
3110112110211020112001002
41322020011120231221
54122024311212301
6140124040404345
712321401506220
oct1721005305551
9415424215032
10131132132201
1150681740884
12214b7a766b5
13c49a5c5b45
1464bd9adcb7
15362744516b
hex1e88158b69

131132132201 has 8 divisors (see below), whose sum is σ = 152102089920. Its totient is φ = 110721373488.

The previous prime is 131132132189. The next prime is 131132132207. The reversal of 131132132201 is 102231231131.

It is a happy number.

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 131132132201 - 26 = 131132132137 is a prime.

It is a super-2 number, since 2×1311321322012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131132132207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139799246 + ... + 139800183.

It is an arithmetic number, because the mean of its divisors is an integer number (19012761240).

Almost surely, 2131132132201 is an apocalyptic number.

It is an amenable number.

131132132201 is a deficient number, since it is larger than the sum of its proper divisors (20969957719).

131132132201 is an equidigital number, since it uses as much as digits as its factorization.

131132132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279599503.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131132132201 its reverse (102231231131), we get a palindrome (233363363332).

The spelling of 131132132201 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 7 67 469 279599429 1957196003 18733161743 131132132201