Search a number
-
+
11313132320 = 255754118671
BaseRepresentation
bin10101000100101000…
…01011001100100000
31002012102122200000202
422202110023030200
5141132130213240
65110331404332
7550231016030
oct124224131440
932172580022
1011313132320
114885a71836
1222388b36a8
1310b3a72949
147947018c0
154632e4315
hex2a250b320

11313132320 has 96 divisors (see below), whose sum is σ = 30603557376. Its totient is φ = 3871411200.

The previous prime is 11313132251. The next prime is 11313132329. The reversal of 11313132320 is 2323131311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11313132292 and 11313132301.

It is not an unprimeable number, because it can be changed into a prime (11313132329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596585 + ... + 615255.

It is an arithmetic number, because the mean of its divisors is an integer number (318787056).

Almost surely, 211313132320 is an apocalyptic number.

11313132320 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 11313132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301778688).

11313132320 is an abundant number, since it is smaller than the sum of its proper divisors (19290425056).

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

11313132320 is a wasteful number, since it uses less digits than its factorization.

11313132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19234 (or 19226 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11313132320 its reverse (2323131311), we get a palindrome (13636263631).

The spelling of 11313132320 in words is "eleven billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 541 560 1082 1120 2164 2705 3787 4328 5410 7574 8656 10820 15148 17312 18671 18935 21640 30296 37342 37870 43280 60592 74684 75740 86560 93355 121184 130697 149368 151480 186710 261394 298736 302960 373420 522788 597472 605920 653485 746840 1045576 1306970 1493680 2091152 2613940 2987360 4182304 5227880 10101011 10455760 20202022 20911520 40404044 50505055 70707077 80808088 101010110 141414154 161616176 202020220 282828308 323232352 353535385 404040440 565656616 707070770 808080880 1131313232 1414141540 1616161760 2262626464 2828283080 5656566160 11313132320