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312302203213 = 71113997312929
BaseRepresentation
bin1001000101101101010…
…10010111000101001101
31002212002212200200222011
410202312222113011031
520104043331000323
6355245240021221
731364065633120
oct4426652270515
91085085620864
10312302203213
111104a04a76a0
1250639461811
13235b0782cb0
1411188d483b7
1581cc72620d
hex48b6a9714d

312302203213 has 32 divisors (see below), whose sum is σ = 419736764160. Its totient is φ = 224406927360.

The previous prime is 312302203207. The next prime is 312302203243.

312302203213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312302203213 - 221 = 312300106061 is a prime.

It is a super-2 number, since 2×3123022032132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312302203243) 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 31 ways as a sum of consecutive naturals, for example, 841533 + ... + 1154461.

It is an arithmetic number, because the mean of its divisors is an integer number (13116773880).

Almost surely, 2312302203213 is an apocalyptic number.

It is an amenable number.

312302203213 is a deficient number, since it is larger than the sum of its proper divisors (107434560947).

312302203213 is a wasteful number, since it uses less digits than its factorization.

312302203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313957.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 312302 and 203213, that added together give a palindrome (515515).

The spelling of 312302203213 in words is "three hundred twelve billion, three hundred two million, two hundred three thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 997 1001 6979 10967 12961 76769 90727 142571 312929 997997 2190503 3442219 4068077 24095533 28476539 44748847 311990213 313241929 2183931491 3431892343 4055872769 24023246401 28391109383 44614600459 312302203213