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312023120201 = 1380930379769
BaseRepresentation
bin1001000101001100000…
…01101111100101001001
31002211101102112211001022
410202212001233211021
520103010404321301
6355201430202225
731354136522042
oct4424601574511
91084342484038
10312023120201
11110367a0a481
125057bab3375
13235679c9b10
141115dc5b8c9
1581b2e99d1b
hex48a606f949

312023120201 has 16 divisors (see below), whose sum is σ = 336585488400. Its totient is φ = 287541163008.

The previous prime is 312023120159. The next prime is 312023120221. The reversal of 312023120201 is 102021320213.

It can be written as a sum of positive squares in 8 ways, for example, as 5440537600 + 306582582601 = 73760^2 + 553699^2 .

It is a cyclic number.

It is not a de Polignac number, because 312023120201 - 226 = 311956011337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312023120201.

It is not an unprimeable number, because it can be changed into a prime (312023120221) 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 15 ways as a sum of consecutive naturals, for example, 31935245 + ... + 31945013.

It is an arithmetic number, because the mean of its divisors is an integer number (21036593025).

Almost surely, 2312023120201 is an apocalyptic number.

It is an amenable number.

312023120201 is a deficient number, since it is larger than the sum of its proper divisors (24562368199).

312023120201 is a wasteful number, since it uses less digits than its factorization.

312023120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312023120201 its reverse (102021320213), we get a palindrome (414044440414).

The spelling of 312023120201 in words is "three hundred twelve billion, twenty-three million, one hundred twenty thousand, two hundred one".

Divisors: 1 13 809 3037 9769 10517 39481 126997 2456933 7903121 29668453 31940129 102740573 385689889 24001778477 312023120201