Search a number
-
+
123320324040 = 23357961321221
BaseRepresentation
bin111001011011001110…
…1101100111111001000
3102210022101221112210220
41302312131230333020
54010030000332130
6132352542310040
711623664313264
oct1626635547710
9383271845726
10123320324040
1148333120781
121ba97888320
13b824064454
145d7c2d30a4
15331b720410
hex1cb676cfc8

123320324040 has 128 divisors (see below), whose sum is σ = 375272870400. Its totient is φ = 32414653440.

The previous prime is 123320324009. The next prime is 123320324117. The reversal of 123320324040 is 40423023321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123320324040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5800630 + ... + 5821850.

It is an arithmetic number, because the mean of its divisors is an integer number (2931819300).

Almost surely, 2123320324040 is an apocalyptic number.

123320324040 is a gapful number since it is divisible by the number (10) 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 123320324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187636435200).

123320324040 is an abundant number, since it is smaller than the sum of its proper divisors (251952546360).

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

123320324040 is a wasteful number, since it uses less digits than its factorization.

123320324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21927 (or 21923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 123320324040 its reverse (40423023321), we get a palindrome (163743347361).

The spelling of 123320324040 in words is "one hundred twenty-three billion, three hundred twenty million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 613 632 790 948 1185 1226 1580 1839 1896 2370 2452 3065 3160 3678 4740 4904 6130 7356 9195 9480 12260 14712 18390 21221 24520 36780 42442 48427 63663 73560 84884 96854 106105 127326 145281 169768 193708 212210 242135 254652 290562 318315 387416 424420 484270 509304 581124 636630 726405 848840 968540 1162248 1273260 1452810 1676459 1937080 2546520 2905620 3352918 5029377 5811240 6705836 8382295 10058754 13008473 13411672 16764590 20117508 25146885 26016946 33529180 39025419 40235016 50293770 52033892 65042365 67058360 78050838 100587540 104067784 130084730 156101676 195127095 201175080 260169460 312203352 390254190 520338920 780508380 1027669367 1561016760 2055338734 3083008101 4110677468 5138346835 6166016202 8221354936 10276693670 12332032404 15415040505 20553387340 24664064808 30830081010 41106774680 61660162020 123320324040