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312203201331 = 3731746898483
BaseRepresentation
bin1001000101100001100…
…00101100101100110011
31002211211222101212220210
410202300300230230303
520103343004420311
6355231342035203
731361454265650
oct4426060545463
91084758355823
10312203201331
1111044a62805a
1250610278b03
13235960cb8b8
1411179b36c27
1581c3bbc3a6
hex48b0c2cb33

312203201331 has 16 divisors (see below), whose sum is σ = 477238973184. Its totient is φ = 177839043744.

The previous prime is 312203201251. The next prime is 312203201347. The reversal of 312203201331 is 133102302213.

It is not a de Polignac number, because 312203201331 - 27 = 312203201203 is a prime.

It is a super-2 number, since 2×3122032013312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312203201298 and 312203201307.

It is not an unprimeable number, because it can be changed into a prime (312203206331) 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, 23442585 + ... + 23455898.

It is an arithmetic number, because the mean of its divisors is an integer number (29827435824).

Almost surely, 2312203201331 is an apocalyptic number.

312203201331 is a deficient number, since it is larger than the sum of its proper divisors (165035771853).

312203201331 is a wasteful number, since it uses less digits than its factorization.

312203201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46898810.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312203201331 its reverse (133102302213), we get a palindrome (445305503544).

The spelling of 312203201331 in words is "three hundred twelve billion, two hundred three million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 317 951 2219 6657 46898483 140695449 328289381 984868143 14866819111 44600457333 104067733777 312203201331