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11331133320 = 23351314534999
BaseRepresentation
bin10101000110110001…
…10101111110001000
31002020200112012202110
422203120311332020
5141201232231240
65112213302320
7550540021053
oct124330657610
932220465673
1011331133320
1148951471a1
1222429349a0
1310b7706220
14796c69a9a
15464b9cc80
hex2a3635f88

11331133320 has 128 divisors (see below), whose sum is σ = 36640800000. Its totient is φ = 2786724864.

The previous prime is 11331133283. The next prime is 11331133343. The reversal of 11331133320 is 2333113311.

11331133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113311333202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264181 + ... + 2269179.

It is an arithmetic number, because the mean of its divisors is an integer number (286256250).

Almost surely, 211331133320 is an apocalyptic number.

11331133320 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 11331133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320400000).

11331133320 is an abundant number, since it is smaller than the sum of its proper divisors (25309666680).

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

11331133320 is a wasteful number, since it uses less digits than its factorization.

11331133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11331133320 its reverse (2333113311), we get a palindrome (13664246631).

The spelling of 11331133320 in words is "eleven billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1453 1560 2906 4359 4999 5812 7265 8718 9998 11624 14530 14997 17436 18889 19996 21795 24995 29060 29994 34872 37778 39992 43590 49990 56667 58120 59988 64987 74985 75556 87180 94445 99980 113334 119976 129974 149970 151112 174360 188890 194961 199960 226668 259948 283335 299940 324935 377780 389922 453336 519896 566670 599880 649870 755560 779844 974805 1133340 1299740 1559688 1949610 2266680 2599480 3899220 7263547 7798440 14527094 21790641 29054188 36317735 43581282 58108376 72635470 87162564 94426111 108953205 145270940 174325128 188852222 217906410 283278333 290541880 377704444 435812820 472130555 566556666 755408888 871625640 944261110 1133113332 1416391665 1888522220 2266226664 2832783330 3777044440 5665566660 11331133320