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11320002320 = 2451137933941
BaseRepresentation
bin10101000101011100…
…11000011100010000
31002012220120200220012
422202232120130100
5141140410033240
65111134534052
7550343301134
oct124256303420
932186520805
1011320002320
114889934320
12223b067328
1310b5309933
147955ad3c4
15463beeb65
hex2a2b98710

11320002320 has 80 divisors (see below), whose sum is σ = 28788246720. Its totient is φ = 4105382400.

The previous prime is 11320002277. The next prime is 11320002389. The reversal of 11320002320 is 2320002311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11320002295 and 11320002304.

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, 316550 + ... + 350490.

It is an arithmetic number, because the mean of its divisors is an integer number (359853084).

Almost surely, 211320002320 is an apocalyptic number.

11320002320 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 11320002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394123360).

11320002320 is an abundant number, since it is smaller than the sum of its proper divisors (17468244400).

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

11320002320 is a wasteful number, since it uses less digits than its factorization.

11320002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34344 (or 34338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11320002320 its reverse (2320002311), we get a palindrome (13640004631).

Subtracting from 11320002320 its reverse (2320002311), we obtain a palindrome (9000000009).

The spelling of 11320002320 in words is "eleven billion, three hundred twenty million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 379 440 758 880 1516 1895 3032 3790 4169 6064 7580 8338 15160 16676 20845 30320 33352 33941 41690 66704 67882 83380 135764 166760 169705 271528 333520 339410 373351 543056 678820 746702 1357640 1493404 1866755 2715280 2986808 3733510 5973616 7467020 12863639 14934040 25727278 29868080 51454556 64318195 102909112 128636390 141500029 205818224 257272780 283000058 514545560 566000116 707500145 1029091120 1132000232 1415000290 2264000464 2830000580 5660001160 11320002320