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11311323102032 = 242924377851513
BaseRepresentation
bin1010010010011001111101…
…1001010011101101010000
31111001100111112222212221212
42210212133121103231100
52440311042203231112
640020203342035252
72245134062660162
oct244463731235520
944040445885855
1011311323102032
113671118007378
121328263278b28
136408650a6425
142b1684452932
15149377e7b522
hexa499f653b50

11311323102032 has 20 divisors (see below), whose sum is σ = 22671401908020. Its totient is φ = 5460638738688.

The previous prime is 11311323102019. The next prime is 11311323102041. The reversal of 11311323102032 is 23020132311311.

11311323102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9101058105616 + 2210264996416 = 3016796^2 + 1486696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11311323101989 and 11311323102007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12188925293 + ... + 12188926220.

It is an arithmetic number, because the mean of its divisors is an integer number (1133570095401).

Almost surely, 211311323102032 is an apocalyptic number.

It is an amenable number.

11311323102032 is an abundant number, since it is smaller than the sum of its proper divisors (11360078805988).

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

11311323102032 is a wasteful number, since it uses less digits than its factorization.

11311323102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377851550 (or 24377851544 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11311323102032 its reverse (23020132311311), we get a palindrome (34331455413343).

The spelling of 11311323102032 in words is "eleven trillion, three hundred eleven billion, three hundred twenty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 24377851513 48755703026 97511406052 195022812104 390045624208 706957693877 1413915387754 2827830775508 5655661551016 11311323102032