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231145102101 = 31134011700359
BaseRepresentation
bin1101011101000101010…
…0100101101100010101
3211002121220021210122110
43113101110211230111
512241341121231401
6254104145421233
722461663643644
oct3272124455425
9732556253573
10231145102101
118a034425401
123896a03a819
1318a489c6b84
14b28a64935b
15602c8929d6
hex35d1525b15

231145102101 has 16 divisors (see below), whose sum is σ = 311696392320. Its totient is φ = 152352076800.

The previous prime is 231145102079. The next prime is 231145102157. The reversal of 231145102101 is 101201541132.

231145102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231145102101 - 26 = 231145102037 is a prime.

It is a super-2 number, since 2×2311451021012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231145102901) 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 15 ways as a sum of consecutive naturals, for example, 714241 + ... + 986118.

It is an arithmetic number, because the mean of its divisors is an integer number (19481024520).

Almost surely, 2231145102101 is an apocalyptic number.

It is an amenable number.

231145102101 is a deficient number, since it is larger than the sum of its proper divisors (80551290219).

231145102101 is a wasteful number, since it uses less digits than its factorization.

231145102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700876.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 231145102101 its reverse (101201541132), we get a palindrome (332346643233).

It can be divided in two parts, 23114 and 5102101, that added together give a palindrome (5125215).

The spelling of 231145102101 in words is "two hundred thirty-one billion, one hundred forty-five million, one hundred two thousand, one hundred one".

Divisors: 1 3 113 339 401 1203 45313 135939 1700359 5101077 192140567 576421701 681843959 2045531877 77048367367 231145102101