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11314301232320 = 265731423340369
BaseRepresentation
bin1010010010100101000011…
…1001111110010011000000
31111001122012002212120200122
42210221100321332103000
52440333142103413240
640021415045435412
72245300634445602
oct244512071762300
944048162776618
1011314301232320
11367240609a779
12132895470bb68
13640c1b0a14b8
142b1887ba5172
1514949e6504b5
hexa4a50e7e4c0

11314301232320 has 112 divisors (see below), whose sum is σ = 27330523789440. Its totient is φ = 4460574375936.

The previous prime is 11314301232319. The next prime is 11314301232343. The reversal of 11314301232320 is 2323210341311.

It is a happy number.

It is a super-2 number, since 2×113143012323202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11314301232320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33071096 + ... + 33411464.

Almost surely, 211314301232320 is an apocalyptic number.

11314301232320 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 11314301232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665261894720).

11314301232320 is an abundant number, since it is smaller than the sum of its proper divisors (16016222557120).

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

11314301232320 is a wasteful number, since it uses less digits than its factorization.

11314301232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341882 (or 341872 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11314301232320 its reverse (2323210341311), we get a palindrome (13637511573631).

The spelling of 11314301232320 in words is "eleven trillion, three hundred fourteen billion, three hundred one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1423 1460 2336 2846 2920 4672 5692 5840 7115 11384 11680 14230 22768 23360 28460 45536 56920 91072 103879 113840 207758 227680 340369 415516 455360 519395 680738 831032 1038790 1361476 1662064 1701845 2077580 2722952 3324128 3403690 4155160 5445904 6648256 6807380 8310320 10891808 13614760 16620640 21783616 24846937 27229520 33241280 49693874 54459040 99387748 108918080 124234685 198775496 248469370 397550992 484345087 496938740 795101984 968690174 993877480 1590203968 1937380348 1987754960 2421725435 3874760696 3975509920 4843450870 7749521392 7951019840 9686901740 15499042784 19373803480 30998085568 35357191351 38747606960 70714382702 77495213920 141428765404 154990427840 176785956755 282857530808 353571913510 565715061616 707143827020 1131430123232 1414287654040 2262860246464 2828575308080 5657150616160 11314301232320