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312221012131 = 7194315446697
BaseRepresentation
bin1001000101100011101…
…00101001000010100011
31002211220012220202202001
410202301310221002203
520103412034342011
6355233215504431
731362061546330
oct4426164510243
91084805822661
10312221012131
11110459692626
1250616228117
13235999c6732
141117c251987
1581c55397c1
hex48b1d290a3

312221012131 has 16 divisors (see below), whose sum is σ = 376475765760. Its totient is φ = 252944562240.

The previous prime is 312221012101. The next prime is 312221012149. The reversal of 312221012131 is 131210122213.

It is a cyclic number.

It is not a de Polignac number, because 312221012131 - 221 = 312218914979 is a prime.

It is a super-2 number, since 2×3122210121312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312221012099 and 312221012108.

It is not an unprimeable number, because it can be changed into a prime (312221012101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666026 + ... + 2780671.

It is an arithmetic number, because the mean of its divisors is an integer number (23529735360).

Almost surely, 2312221012131 is an apocalyptic number.

312221012131 is a deficient number, since it is larger than the sum of its proper divisors (64254753629).

312221012131 is a wasteful number, since it uses less digits than its factorization.

312221012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447154.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312221012131 its reverse (131210122213), we get a palindrome (443431134344).

The spelling of 312221012131 in words is "three hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred thirty-one".

Divisors: 1 7 19 133 431 3017 8189 57323 5446697 38126879 103487243 724410701 2347526407 16432684849 44603001733 312221012131