Search a number
-
+
11132720310 = 2353111970667
BaseRepresentation
bin10100101111000111…
…11101010010110110
31001201212011210021110
422113203331102312
5140244434022220
65040404455450
7542610363345
oct122743752266
931655153243
1011132720310
1147a31485a8
1221a83aa586
13108558638a
1477877bb5c
15452558be0
hex2978fd4b6

11132720310 has 32 divisors (see below), whose sum is σ = 27580419072. Its totient is φ = 2872959840.

The previous prime is 11132720309. The next prime is 11132720311. The reversal of 11132720310 is 1302723111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11132720309) and next prime (11132720311).

It is a super-2 number, since 2×111327203102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132720311) 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, 5984404 + ... + 5986263.

It is an arithmetic number, because the mean of its divisors is an integer number (861888096).

Almost surely, 211132720310 is an apocalyptic number.

11132720310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11132720310 is an abundant number, since it is smaller than the sum of its proper divisors (16447698762).

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

11132720310 is a wasteful number, since it uses less digits than its factorization.

11132720310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970708.

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 11132720310 in words is "eleven billion, one hundred thirty-two million, seven hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 11970667 23941334 35912001 59853335 71824002 119706670 179560005 359120010 371090677 742181354 1113272031 1855453385 2226544062 3710906770 5566360155 11132720310