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1313424226260 = 22325101199363043
BaseRepresentation
bin10011000111001110001…
…011110011011111010100
311122120011210101210201100
4103013032023303133110
5133004343100220020
62443213451230100
7163614606501306
oct23071613633724
94576153353640
101313424226260
1146702480a063
12192673148330
1396b173406a3
14477da3c3976
1524272723a90
hex131ce2f37d4

1313424226260 has 144 divisors (see below), whose sum is σ = 4043729289600. Its totient is φ = 345035116800.

The previous prime is 1313424226259. The next prime is 1313424226339. The reversal of 1313424226260 is 626224243131.

1313424226260 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 4 + 22 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3436299 + ... + 3799341.

It is an arithmetic number, because the mean of its divisors is an integer number (28081453400).

Almost surely, 21313424226260 is an apocalyptic number.

1313424226260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313424226260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021864644800).

1313424226260 is an abundant number, since it is smaller than the sum of its proper divisors (2730305063340).

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

1313424226260 is a wasteful number, since it uses less digits than its factorization.

1313424226260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363358 (or 363353 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1313424226260 its reverse (626224243131), we get a palindrome (1939648469391).

The spelling of 1313424226260 in words is "one trillion, three hundred thirteen billion, four hundred twenty-four million, two hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 199 202 303 398 404 505 597 606 796 909 995 1010 1194 1212 1515 1791 1818 1990 2020 2388 2985 3030 3582 3636 3980 4545 5970 6060 7164 8955 9090 11940 17910 18180 20099 35820 40198 60297 80396 100495 120594 180891 200990 241188 301485 361782 363043 401980 602970 723564 726086 904455 1089129 1205940 1452172 1808910 1815215 2178258 3267387 3617820 3630430 4356516 5445645 6534774 7260860 10891290 13069548 16336935 21782580 32673870 36667343 65347740 72245557 73334686 110002029 144491114 146669372 183336715 216736671 220004058 288982228 330006087 361227785 366673430 433473342 440008116 550010145 650210013 660012174 722455570 733346860 866946684 1083683355 1100020290 1300420026 1320024348 1444911140 1650030435 2167366710 2200040580 2600840052 3251050065 3300060870 4334733420 6502100130 6600121740 7296801257 13004200260 14593602514 21890403771 29187205028 36484006285 43780807542 65671211313 72968012570 87561615084 109452018855 131342422626 145936025140 218904037710 262684845252 328356056565 437808075420 656712113130 1313424226260