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1213312300431 = 372113538112621
BaseRepresentation
bin10001101001111111000…
…011000111010110001111
311021222202211011001002120
4101221333003013112033
5124334330422103211
62325215445224023
7153442003250400
oct21517703072617
94258684131076
101213312300431
11428621187480
12177193a02013
138a5515a315a
1442a205499a7
152186377ad06
hex11a7f0c758f

1213312300431 has 96 divisors (see below), whose sum is σ = 2062092162816. Its totient is φ = 627492096000.

The previous prime is 1213312300427. The next prime is 1213312300433. The reversal of 1213312300431 is 1340032133121.

It is not a de Polignac number, because 1213312300431 - 22 = 1213312300427 is a prime.

It is a super-2 number, since 2×12133123004312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213312300433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462918301 + ... + 462920921.

It is an arithmetic number, because the mean of its divisors is an integer number (21480126696).

Almost surely, 21213312300431 is an apocalyptic number.

1213312300431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1213312300431 is a deficient number, since it is larger than the sum of its proper divisors (848779862385).

1213312300431 is a wasteful number, since it uses less digits than its factorization.

1213312300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1213312300431 its reverse (1340032133121), we get a palindrome (2553344433552).

The spelling of 1213312300431 in words is "one trillion, two hundred thirteen billion, three hundred twelve million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 353 539 811 1059 1617 2433 2471 2621 3883 5677 7413 7863 8921 11649 17031 17297 18347 26763 27181 28831 39739 51891 55041 62447 81543 86493 119217 128429 187341 190267 201817 286283 385287 437129 570801 605451 858849 925213 1311387 1412719 2003981 2125631 2775639 3149113 4238157 6011943 6376893 6476491 9447339 10177343 14027867 14879417 19429473 22043791 23381941 30532029 42083601 44638251 45335437 66131373 70145823 71241401 104155919 136006311 154306537 163673587 213724203 312467757 462919611 491020761 498689807 750347743 1145715109 1496069421 2251043229 3437145327 5252434201 8253825173 15757302603 24761475519 36767039407 57776776211 110301118221 173330328633 404437433477 1213312300431