Search a number
-
+
11011001310 = 2325373306607
BaseRepresentation
bin10100100000100111…
…01000101111011110
31001102101010211012100
422100103220233132
5140022304020220
65020335545530
7536601652431
oct122023505736
931371124170
1011011001310
114740472291
12217368b2a6
1310662a9bba
14766535818
15446a13d90
hex2904e8bde

11011001310 has 48 divisors (see below), whose sum is σ = 29402358336. Its totient is φ = 2856907584.

The previous prime is 11011001279. The next prime is 11011001311. The reversal of 11011001310 is 1310011011.

11011001310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110110013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011001292 and 11011001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649974 + ... + 1656633.

It is an arithmetic number, because the mean of its divisors is an integer number (612549132).

Almost surely, 211011001310 is an apocalyptic number.

11011001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011001310 is an abundant number, since it is smaller than the sum of its proper divisors (18391357026).

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

11011001310 is a wasteful number, since it uses less digits than its factorization.

11011001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306657 (or 3306654 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11011001310 its reverse (1310011011), we get a palindrome (12321012321).

The spelling of 11011001310 in words is "eleven billion, eleven million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3306607 6613214 9919821 16533035 19839642 29759463 33066070 49599105 59518926 99198210 122344459 148797315 244688918 297594630 367033377 611722295 734066754 1101100131 1223444590 1835166885 2202200262 3670333770 5505500655 11011001310