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312223133201 = 71133187123853
BaseRepresentation
bin1001000101100011111…
…00101110111000010001
31002211220100220112022012
410202301330232320101
520103413110230301
6355233333152305
731362115562240
oct4426174567021
91084810815265
10312223133201
1111045a901181
1250616a8b695
132359a289cc5
141117c644957
1581c5807ebb
hex48b1f2ee11

312223133201 has 16 divisors (see below), whose sum is σ = 360100055424. Its totient is φ = 265166141184.

The previous prime is 312223133153. The next prime is 312223133213. The reversal of 312223133201 is 102331322213.

It is a de Polignac number, because none of the positive numbers 2k-312223133201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312223133801) 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 15 ways as a sum of consecutive naturals, for example, 2458991 + ... + 2582843.

It is an arithmetic number, because the mean of its divisors is an integer number (22506253464).

Almost surely, 2312223133201 is an apocalyptic number.

It is an amenable number.

312223133201 is a deficient number, since it is larger than the sum of its proper divisors (47876922223).

312223133201 is a wasteful number, since it uses less digits than its factorization.

312223133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127160.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312223133201 its reverse (102331322213), we get a palindrome (414554455414).

The spelling of 312223133201 in words is "three hundred twelve billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 7 113 791 3187 22309 123853 360131 866971 2520917 13995389 97967723 394719511 2763036577 44603304743 312223133201