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312123101213 = 711103193203911
BaseRepresentation
bin1001000101010111111…
…11001001000000011101
31002211122101200101012202
410202223333021000131
520103212003214323
6355215401141245
731356462404630
oct4425377110035
91084571611182
10312123101213
11110409398710
12505a948a825
1323582634a91
141116d245c17
1581bbb48d28
hex48abfc901d

312123101213 has 32 divisors (see below), whose sum is σ = 394956337152. Its totient is φ = 239602406400.

The previous prime is 312123101159. The next prime is 312123101219. The reversal of 312123101213 is 312101321213.

It is a happy number.

It is not a de Polignac number, because 312123101213 - 28 = 312123100957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123101219) 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, 1428728 + ... + 1632638.

It is an arithmetic number, because the mean of its divisors is an integer number (12342385536).

Almost surely, 2312123101213 is an apocalyptic number.

It is an amenable number.

312123101213 is a deficient number, since it is larger than the sum of its proper divisors (82833235939).

312123101213 is a wasteful number, since it uses less digits than its factorization.

312123101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204225.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312123101213 its reverse (312101321213), we get a palindrome (624224422426).

The spelling of 312123101213 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred one thousand, two hundred thirteen".

Divisors: 1 7 11 77 103 193 721 1133 1351 2123 7931 14861 19879 139153 203911 218669 1427377 1530683 2243021 15701147 21002833 39354823 147019831 231031163 275483761 432903053 1617218141 3030321371 4053546769 28374827383 44589014459 312123101213