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231305100001 = 1713819852413
BaseRepresentation
bin1101011101101011011…
…0111011101011100001
3211010001001100112111121
43113122312323223201
512242203101200001
6254132103012241
722465645624063
oct3273266735341
9733031315447
10231305100001
118a106776178
12389b373a081
1318a72bb66a1
14b2a39b7733
15603b9496a1
hex35dadbbae1

231305100001 has 8 divisors (see below), whose sum is σ = 245088650664. Its totient is φ = 217541256960.

The previous prime is 231305099981. The next prime is 231305100007. The reversal of 231305100001 is 100001503132.

It can be written as a sum of positive squares in 4 ways, for example, as 62400539601 + 168904560400 = 249801^2 + 410980^2 .

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 231305100001 - 217 = 231304968929 is a prime.

It is a super-3 number, since 3×2313051000013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231305100007) 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, 4902730 + ... + 4949683.

It is an arithmetic number, because the mean of its divisors is an integer number (30636081333).

Almost surely, 2231305100001 is an apocalyptic number.

It is an amenable number.

231305100001 is a deficient number, since it is larger than the sum of its proper divisors (13783550663).

231305100001 is a wasteful number, since it uses less digits than its factorization.

231305100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853811.

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 231305100001 its reverse (100001503132), we get a palindrome (331306603133).

The spelling of 231305100001 in words is "two hundred thirty-one billion, three hundred five million, one hundred thousand, one".

Divisors: 1 17 1381 23477 9852413 167491021 13606182353 231305100001