Search a number
-
+
11123300301132 = 22368311711158977
BaseRepresentation
bin1010000111011101100001…
…0111001111100101001100
31110101101011220220221212010
42201313120113033211030
52424221004334114012
635353550144541220
72225426515354035
oct241673027174514
943341156827763
1011123300301132
1135a9402044128
1212b792a921810
13628bcc297816
142a6528d35a8c
15144521271c3c
hexa1dd85cf94c

11123300301132 has 48 divisors (see below), whose sum is σ = 26014587080832. Its totient is φ = 3699173237760.

The previous prime is 11123300301131. The next prime is 11123300301149. The reversal of 11123300301132 is 23110300332111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11123300301099 and 11123300301108.

It is not an unprimeable number, because it can be changed into a prime (11123300301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9018028 + ... + 10177004.

It is an arithmetic number, because the mean of its divisors is an integer number (541970564184).

Almost surely, 211123300301132 is an apocalyptic number.

11123300301132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11123300301132 is an abundant number, since it is smaller than the sum of its proper divisors (14891286779700).

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

11123300301132 is a wasteful number, since it uses less digits than its factorization.

11123300301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160838 (or 1160836 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11123300301132 its reverse (23110300332111), we get a palindrome (34233600633243).

The spelling of 11123300301132 in words is "eleven trillion, one hundred twenty-three billion, three hundred million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 683 1171 1366 2049 2342 2732 3513 4098 4684 7026 8196 14052 799793 1158977 1599586 2317954 2399379 3199172 3476931 4635908 4798758 6953862 9597516 13907724 791581291 1357162067 1583162582 2374743873 2714324134 3166325164 4071486201 4749487746 5428648268 8142972402 9498975492 16285944804 926941691761 1853883383522 2780825075283 3707766767044 5561650150566 11123300301132