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312442211103 = 3112316321111969
BaseRepresentation
bin1001000101111110000…
…00011100101100011111
31002212110122010211200120
410202333000130230133
520104340201223403
6355311200530023
731400415655311
oct4427700345437
91085418124616
10312442211103
111105625346a0
1250678320913
1323603793ab9
141119d7917b1
1581d9b7ee53
hex48bf01cb1f

312442211103 has 64 divisors (see below), whose sum is σ = 479431249920. Its totient is φ = 179146598400.

The previous prime is 312442211083. The next prime is 312442211111. The reversal of 312442211103 is 301112244213.

It is not a de Polignac number, because 312442211103 - 226 = 312375102239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312442211113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26098303 + ... + 26110271.

It is an arithmetic number, because the mean of its divisors is an integer number (7491113280).

Almost surely, 2312442211103 is an apocalyptic number.

312442211103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312442211103 is a deficient number, since it is larger than the sum of its proper divisors (166989038817).

312442211103 is a wasteful number, since it uses less digits than its factorization.

312442211103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12380.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312442211103 its reverse (301112244213), we get a palindrome (613554455316).

The spelling of 312442211103 in words is "three hundred twelve billion, four hundred forty-two million, two hundred eleven thousand, one hundred three".

Divisors: 1 3 11 23 33 69 163 211 253 489 633 759 1793 2321 3749 4853 5379 6963 11247 11969 14559 34393 35907 41239 53383 103179 123717 131659 160149 275287 378323 394977 791039 825861 1134969 1950947 2373117 2525459 3028157 5852841 7576377 8701429 9084471 21460417 26104287 27780049 44871781 58085557 64381251 83340147 134615343 174256671 411649817 493589591 638941127 1234949451 1480768773 1916823381 4528147987 9467945791 13584443961 28403837373 104147403701 312442211103