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1331332100201 = 17140955581017
BaseRepresentation
bin10011010111111001100…
…100111011000001101001
311201021101211020001112202
4103113321210323001221
5133303032004201301
62455334443145545
7165120436064315
oct23277144730151
94637354201482
101331332100201
11473684298884
121960305152b5
139870c4563bc
14486188acb45
152496e98066b
hex135f993b069

1331332100201 has 8 divisors (see below), whose sum is σ = 1410646236840. Its totient is φ = 1252129128448.

The previous prime is 1331332100177. The next prime is 1331332100207. The reversal of 1331332100201 is 1020012331331.

It can be written as a sum of positive squares in 4 ways, for example, as 141812496400 + 1189519603801 = 376580^2 + 1090651^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331332100201 is a prime.

It is a super-2 number, since 2×13313321002012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331332100207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27766556 + ... + 27814461.

It is an arithmetic number, because the mean of its divisors is an integer number (176330779605).

Almost surely, 21331332100201 is an apocalyptic number.

It is an amenable number.

1331332100201 is a deficient number, since it is larger than the sum of its proper divisors (79314136639).

1331332100201 is a wasteful number, since it uses less digits than its factorization.

1331332100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55582443.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1331332100201 its reverse (1020012331331), we get a palindrome (2351344431532).

The spelling of 1331332100201 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred thousand, two hundred one".

Divisors: 1 17 1409 23953 55581017 944877289 78313652953 1331332100201