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11401314113310 = 235115929925147
BaseRepresentation
bin1010010111101001001101…
…0001110001011100011110
31111100221210011221220212120
42211322103101301130132
52443244342403111220
640125405201443410
72254501122645432
oct245722321613436
944327704856776
1011401314113310
1136a62a7649070
121341799040566
136491a709c224
142b5b800909c2
1514b89362ea40
hexa5e9347171e

11401314113310 has 96 divisors (see below), whose sum is σ = 30365235994752. Its totient is φ = 2717107968960.

The previous prime is 11401314113269. The next prime is 11401314113317. The reversal of 11401314113310 is 1331141310411.

It is a super-2 number, since 2×114013141133102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401314113317) 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, 3813844 + ... + 6111303.

It is an arithmetic number, because the mean of its divisors is an integer number (316304541612).

Almost surely, 211401314113310 is an apocalyptic number.

11401314113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11401314113310 is an abundant number, since it is smaller than the sum of its proper divisors (18963921881442).

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

11401314113310 is a wasteful number, since it uses less digits than its factorization.

11401314113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9925286 (or 9925227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 11401314113310 its reverse (1331141310411), we get a palindrome (12732455423721).

The spelling of 11401314113310 in words is "eleven trillion, four hundred one billion, three hundred fourteen million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3481 3894 6490 6962 9735 10443 17405 19470 20886 34810 38291 52215 76582 104430 114873 191455 229746 382910 574365 1148730 9925147 19850294 29775441 49625735 59550882 99251470 109176617 148877205 218353234 297754410 327529851 545883085 585583673 655059702 1091766170 1171167346 1637649255 1756751019 2927918365 3275298510 3513502038 5855836730 6441420403 8783755095 12882840806 17567510190 19324261209 32207102015 34549436707 38648522418 64414204030 69098873414 96621306045 103648310121 172747183535 193242612090 207296620242 345494367070 380043803777 518241550605 760087607554 1036483101210 1140131411331 1900219018885 2280262822662 3800438037770 5700657056655 11401314113310