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11331131013310 = 2517219983209927
BaseRepresentation
bin1010010011100011110000…
…0010011111100010111110
31111010020122000002001000111
42210320330002133202332
52441122124014411220
640033241050220234
72246434663306513
oct244707402374276
944106560061014
1011331131013310
113679562067289
121330070a2467a
136426a0a369a4
142b260301530a
15149b36e0215a
hexa4e3c09f8be

11331131013310 has 96 divisors (see below), whose sum is σ = 22830022679040. Its totient is φ = 4037189349888.

The previous prime is 11331131013271. The next prime is 11331131013311. The reversal of 11331131013310 is 1331013113311.

It is a super-2 number, since 2×113311310133102 (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 (11331131013311) 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 47 ways as a sum of consecutive naturals, for example, 53871567 + ... + 54081493.

It is an arithmetic number, because the mean of its divisors is an integer number (237812736240).

Almost surely, 211331131013310 is an apocalyptic number.

11331131013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331131013310 is an abundant number, since it is smaller than the sum of its proper divisors (11498891665730).

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

11331131013310 is a wasteful number, since it uses less digits than its factorization.

11331131013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210970 (or 210953 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 11331131013310 its reverse (1331013113311), we get a palindrome (12662144126621).

The spelling of 11331131013310 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 289 323 578 646 983 1445 1615 1966 2890 3230 4915 5491 9830 10982 16711 18677 27455 33422 37354 54910 83555 93385 167110 186770 209927 284087 317509 419854 568174 635018 1049635 1420435 1587545 2099270 2840870 3175090 3568759 3988613 5397653 7137518 7977226 10795306 17843795 19943065 26988265 35687590 39886130 53976530 60668903 67806421 121337806 135612842 206358241 303344515 339032105 412716482 606689030 678064210 1031791205 1152709157 2063582410 2305418314 3508090097 3920806579 5763545785 7016180194 7841613158 11527091570 17540450485 19604032895 35080900970 39208065790 59637531649 66653711843 119275063298 133307423686 298187658245 333268559215 596375316490 666537118430 1133113101331 2266226202662 5665565506655 11331131013310