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1312044110430 = 2355910752113297
BaseRepresentation
bin10011000101111011111…
…011000101001001011110
311122102121121110122201020
4103011323323011021132
5132444031243013210
62442424510425010
7163535450633064
oct23057373051136
94572547418636
101312044110430
11466486771669
12192348b02166
13969574346c1
1447708daa034
15241e14aa770
hex1317bec525e

1312044110430 has 128 divisors (see below), whose sum is σ = 3238652367360. Its totient is φ = 340054241280.

The previous prime is 1312044110413. The next prime is 1312044110437. The reversal of 1312044110430 is 340114402131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312044110430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312044110437) 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 63 ways as a sum of consecutive naturals, for example, 98665542 + ... + 98678838.

It is an arithmetic number, because the mean of its divisors is an integer number (25301971620).

Almost surely, 21312044110430 is an apocalyptic number.

1312044110430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312044110430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619326183680).

1312044110430 is an abundant number, since it is smaller than the sum of its proper divisors (1926608256930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312044110430 is a wasteful number, since it uses less digits than its factorization.

1312044110430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994.

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

Adding to 1312044110430 its reverse (340114402131), we get a palindrome (1652158512561).

The spelling of 1312044110430 in words is "one trillion, three hundred twelve billion, forty-four million, one hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 107 118 177 214 295 321 354 521 535 590 642 885 1042 1070 1563 1605 1770 2605 3126 3210 5210 6313 7815 12626 13297 15630 18939 26594 30739 31565 37878 39891 55747 61478 63130 66485 79782 92217 94695 111494 132970 153695 167241 184434 189390 199455 278735 307390 334482 398910 461085 557470 784523 836205 922170 1422779 1569046 1672410 2353569 2845558 3289073 3922615 4268337 4707138 6578146 6927737 7113895 7845230 8536674 9867219 11767845 13855474 14227790 16445365 19734438 20783211 21341685 23535690 32890730 34638685 41566422 42683370 49336095 69277370 83943961 98672190 103916055 167887922 207832110 251831883 408736483 419719805 503663766 741267859 817472966 839439610 1226209449 1259159415 1482535718 2043682415 2223803577 2452418898 2518318830 3706339295 4087364830 4447607154 6131047245 7412678590 11119017885 12262094490 22238035770 43734803681 87469607362 131204411043 218674018405 262408822086 437348036810 656022055215 1312044110430