Search a number
-
+
11002213001312 = 2513173331946061
BaseRepresentation
bin1010000000011010011011…
…1111110110100001100000
31102221210122010210210101222
42200012212333312201200
52420230013012020222
635222202531514212
72213612044322231
oct240064677664140
942853563723358
1011002213001312
113562015459615
121298376a58968
1361a672a583a0
142a071d439088
151412d5ae3542
hexa01a6ff6860

11002213001312 has 96 divisors (see below), whose sum is σ = 23469222813120. Its totient is φ = 5046961489920.

The previous prime is 11002213001179. The next prime is 11002213001323. The reversal of 11002213001312 is 21310031220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238838762 + ... + 238884822.

It is an arithmetic number, because the mean of its divisors is an integer number (244471070970).

Almost surely, 211002213001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002213001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734611406560).

11002213001312 is an abundant number, since it is smaller than the sum of its proper divisors (12467009811808).

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

11002213001312 is a wasteful number, since it uses less digits than its factorization.

11002213001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49576 (or 49568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11002213001312 its reverse (21310031220011), we get a palindrome (32312244221323).

The spelling of 11002213001312 in words is "eleven trillion, two billion, two hundred thirteen million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 3319 4498 5536 6638 8996 13276 17992 26552 35984 43147 46061 53104 71968 86294 92122 106208 172588 184244 345176 368488 574187 598793 690352 736976 1148374 1197586 1380704 1473952 2296748 2395172 4593496 4790344 7464431 7968553 9186992 9580688 14928862 15937106 18373984 19161376 29857724 31874212 59715448 63748424 103591189 119430896 127496848 152876459 207182378 238861792 254993696 305752918 414364756 611505836 828729512 1223011672 1657459024 1987393967 2446023344 3314918048 3974787934 4892046688 7949575868 15899151736 26447627407 31798303472 52895254814 63596606944 105790509628 211581019256 343819156291 423162038512 687638312582 846324077024 1375276625164 2750553250328 5501106500656 11002213001312