Search a number
-
+
11323241310312 = 23321277123153673
BaseRepresentation
bin1010010011000110010111…
…0001101010100001101000
31111002111021011012121011100
42210301211301222201220
52441004444233412222
640025454130401400
72246035322036121
oct244614561524150
944074234177140
1011323241310312
113676183583688
12132a62a730260
13641a14301189
142b209525d048
151498244424ac
hexa4c65c6a868

11323241310312 has 48 divisors (see below), whose sum is σ = 30691127097540. Its totient is φ = 3771458051328.

The previous prime is 11323241310307. The next prime is 11323241310341. The reversal of 11323241310312 is 21301314232311.

11323241310312 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 32 + 4 + 1 + 310 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10779756828516 + 543484481796 = 3283254^2 + 737214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61484893 + ... + 61668780.

Almost surely, 211323241310312 is an apocalyptic number.

11323241310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11323241310312 is an abundant number, since it is smaller than the sum of its proper divisors (19367885787228).

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

11323241310312 is a wasteful number, since it uses less digits than its factorization.

11323241310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123154962 (or 123154955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11323241310312 its reverse (21301314232311), we get a palindrome (32624555542623).

The spelling of 11323241310312 in words is "eleven trillion, three hundred twenty-three billion, two hundred forty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1277 2554 3831 5108 7662 10216 11493 15324 22986 30648 45972 91944 123153673 246307346 369461019 492614692 738922038 985229384 1108383057 1477844076 2216766114 2955688152 4433532228 8867064456 157267240421 314534480842 471801721263 629068961684 943603442526 1258137923368 1415405163789 1887206885052 2830810327578 3774413770104 5661620655156 11323241310312