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11313113211300 = 22352793037157177
BaseRepresentation
bin1010010010100000101000…
…0110000010000110100100
31111001112010022101212020010
42210220022012002012210
52440323223440230200
640021101130210220
72245226330441505
oct244501206020644
944045108355203
1011313113211300
113671956525a1a
121328682883970
13640a8bc12594
142b17b40b2bac
151494301ce150
hexa4a0a1821a4

11313113211300 has 144 divisors (see below), whose sum is σ = 33158069692160. Its totient is φ = 2977642736640.

The previous prime is 11313113211271. The next prime is 11313113211329. The reversal of 11313113211300 is 311231131311.

It is an interprime number because it is at equal distance from previous prime (11313113211271) and next prime (11313113211329).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71898312 + ... + 72055488.

Almost surely, 211313113211300 is an apocalyptic number.

11313113211300 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 11313113211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579034846080).

11313113211300 is an abundant number, since it is smaller than the sum of its proper divisors (21844956480860).

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

11313113211300 is a wasteful number, since it uses less digits than its factorization.

11313113211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160310 (or 160303 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11313113211300 its reverse (311231131311), we get a palindrome (11624344342611).

The spelling of 11313113211300 in words is "eleven trillion, three hundred thirteen billion, one hundred thirteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3037 3950 4740 5925 6074 7900 9111 11850 12148 15185 18222 23700 30370 36444 45555 60740 75925 91110 151850 157177 182220 227775 239923 303700 314354 455550 471531 479846 628708 719769 785885 911100 943062 959692 1199615 1439538 1571770 1886124 2357655 2399230 2879076 3143540 3598845 3929425 4715310 4798460 5998075 7197690 7858850 9430620 11788275 11996150 12416983 14395380 15717700 17994225 23576550 23992300 24833966 35988450 37250949 47153100 49667932 62084915 71976900 74501898 124169830 149003796 186254745 248339660 310424575 372509490 477346549 620849150 745018980 931273725 954693098 1241698300 1432039647 1862547450 1909386196 2386732745 2864079294 3725094900 4773465490 5728158588 7160198235 9546930980 11933663725 14320396470 23867327450 28640792940 35800991175 37710377371 47734654900 71601982350 75420754742 113131132113 143203964700 150841509484 188551886855 226262264226 377103773710 452524528452 565655660565 754207547420 942759434275 1131311321130 1885518868550 2262622642260 2828278302825 3771037737100 5656556605650 11313113211300