Search a number
-
+
123310454352 = 24331136160889
BaseRepresentation
bin111001011010111100…
…0000011011001010000
3102210021201101010010220
41302311320003121100
54010014434014402
6132351550553040
711623514365551
oct1626570033120
9383251333126
10123310454352
114832859a508
121ba94508780
13b821cb9cb7
145d7ac84328
15331a920dbc
hex1cb5e03650

123310454352 has 80 divisors (see below), whose sum is σ = 329074890240. Its totient is φ = 39747686400.

The previous prime is 123310454291. The next prime is 123310454429. The reversal of 123310454352 is 253454013321.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1994724 + ... + 2055612.

It is an arithmetic number, because the mean of its divisors is an integer number (4113436128).

Almost surely, 2123310454352 is an apocalyptic number.

123310454352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123310454352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164537445120).

123310454352 is an abundant number, since it is smaller than the sum of its proper divisors (205764435888).

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

123310454352 is a wasteful number, since it uses less digits than its factorization.

123310454352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62292 (or 62286 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 123310454352 its reverse (253454013321), we get a palindrome (376764467673).

The spelling of 123310454352 in words is "one hundred twenty-three billion, three hundred ten million, four hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1361 1488 2722 4083 5444 8166 10888 16332 21776 32664 42191 60889 65328 84382 121778 126573 168764 182667 243556 253146 337528 365334 487112 506292 675056 730668 974224 1012584 1461336 1887559 2025168 2922672 3775118 5662677 7550236 11325354 15100472 22650708 30200944 45301416 82869929 90602832 165739858 248609787 331479716 497219574 662959432 994439148 1325918864 1988878296 2568967799 3977756592 5137935598 7706903397 10275871196 15413806794 20551742392 30827613588 41103484784 61655227176 123310454352