Search a number
-
+
11381021320 = 2353161379397
BaseRepresentation
bin10101001100101110…
…01001101010001000
31002101011101210020011
422212113021222020
5141302020140240
65121154441304
7552014041114
oct124627115210
932334353204
1011381021320
114910320849
122257593234
1310c4b52656
1479d734744
154692546ea
hex2a65c9a88

11381021320 has 128 divisors (see below), whose sum is σ = 27005414400. Its totient is φ = 4311014400.

The previous prime is 11381021317. The next prime is 11381021321. The reversal of 11381021320 is 2312018311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11381021291 and 11381021300.

It is not an unprimeable number, because it can be changed into a prime (11381021321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28667362 + ... + 28667758.

It is an arithmetic number, because the mean of its divisors is an integer number (210979800).

Almost surely, 211381021320 is an apocalyptic number.

11381021320 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 11381021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502707200).

11381021320 is an abundant number, since it is smaller than the sum of its proper divisors (15624393080).

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

11381021320 is a wasteful number, since it uses less digits than its factorization.

11381021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11381021320 its reverse (2312018311), we get a palindrome (13693039631).

The spelling of 11381021320 in words is "eleven billion, three hundred eighty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 305 310 379 397 488 610 620 758 794 1220 1240 1516 1588 1891 1895 1985 2440 3032 3176 3782 3790 3970 7564 7580 7940 9455 11749 12307 15128 15160 15880 18910 23119 23498 24217 24614 37820 46238 46996 48434 49228 58745 61535 75640 92476 93992 96868 98456 115595 117490 121085 123070 150463 184952 193736 231190 234980 242170 246140 300926 462380 469960 484340 492280 601852 716689 750727 752315 924760 968680 1203704 1433378 1501454 1504630 2866756 3002908 3009260 3583445 3753635 4664353 5733512 6005816 6018520 7166890 7507270 9178243 9328706 14333780 15014540 18356486 18657412 23321765 28667560 30029080 36712972 37314824 45891215 46643530 73425944 91782430 93287060 183564860 186574120 284525533 367129720 569051066 1138102132 1422627665 2276204264 2845255330 5690510660 11381021320