Search a number
-
+
11013306442310 = 25172191131774957
BaseRepresentation
bin1010000001000011110000…
…1101111110001001000110
31102222212021021001222121002
42200100330031332021012
52420420222422123220
635231235414453302
72214454000111634
oct240207415761106
942885237058532
1011013306442310
113566798408a77
12129a552064232
1361b72013ac63
142a10928b0354
1514173498dc75
hexa043c37e246

11013306442310 has 96 divisors (see below), whose sum is σ = 22363192830240. Its totient is φ = 3893202690048.

The previous prime is 11013306442309. The next prime is 11013306442319. The reversal of 11013306442310 is 1324460331011.

It is a happy number.

It is a super-2 number, since 2×110133064423102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013306442319) 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 47 ways as a sum of consecutive naturals, for example, 5317352 + ... + 7092308.

It is an arithmetic number, because the mean of its divisors is an integer number (232949925315).

Almost surely, 211013306442310 is an apocalyptic number.

11013306442310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11013306442310 is an abundant number, since it is smaller than the sum of its proper divisors (11349886387930).

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

11013306442310 is a wasteful number, since it uses less digits than its factorization.

11013306442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775130 (or 1775113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 11013306442310 its reverse (1324460331011), we get a palindrome (12337766773321).

The spelling of 11013306442310 in words is "eleven trillion, thirteen billion, three hundred six million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 5 10 17 19 34 38 85 95 113 170 190 226 289 323 565 578 646 1130 1445 1615 1921 2147 2890 3230 3842 4294 5491 9605 10735 10982 19210 21470 27455 32657 36499 54910 65314 72998 163285 182495 326570 364990 620483 1240966 1774957 3102415 3549914 6204830 8874785 17749570 30174269 33724183 60348538 67448366 150871345 168620915 200570141 301742690 337241830 401140282 512962573 573311111 1002850705 1025925146 1146622222 2005701410 2564812865 2866555555 3409692397 3810832679 5129625730 5733111110 6819384794 7621665358 9746288887 17048461985 19054163395 19492577774 34096923970 38108326790 48731444435 57964770749 64784155543 97462888870 115929541498 129568311086 289823853745 323920777715 579647707490 647841555430 1101330644231 2202661288462 5506653221155 11013306442310