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2312000001 = 321132419433
BaseRepresentation
bin1000100111001110…
…0101001000000001
312222010102202202200
42021303211020001
514213333000001
61021230103413
7111202450533
oct21163451001
95863382680
102312000001
11a87077903
1254634ab69
132aacb714c
1417d0b3853
15d7e92086
hex89ce5201

2312000001 has 24 divisors (see below), whose sum is σ = 3383447496. Its totient is φ = 1521192960.

The previous prime is 2311999969. The next prime is 2312000023. The reversal of 2312000001 is 1000002132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200505600 + 2111494401 = 14160^2 + 45951^2 .

It is not a de Polignac number, because 2312000001 - 25 = 2311999969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2312005001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240381 + ... + 249813.

It is an arithmetic number, because the mean of its divisors is an integer number (140976979).

Almost surely, 22312000001 is an apocalyptic number.

It is an amenable number.

2312000001 is a deficient number, since it is larger than the sum of its proper divisors (1071447495).

2312000001 is a wasteful number, since it uses less digits than its factorization.

2312000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2312000001 is about 48083.2611310839. The cubic root of 2312000001 is about 1322.2978038822.

Adding to 2312000001 its reverse (1000002132), we get a palindrome (3312002133).

The spelling of 2312000001 in words is "two billion, three hundred twelve million, one", and thus it is an aban number.

Divisors: 1 3 9 113 241 339 723 1017 2169 9433 27233 28299 81699 84897 245097 1065929 2273353 3197787 6820059 9593361 20460177 256888889 770666667 2312000001