Search a number
-
+
122312104031320 = 23573831140545543
BaseRepresentation
bin11011110011111000000001…
…100000110011010001011000
3121001001220220211102102010221
4123303320001200303101120
5112012430142113000240
61112045223242245424
734522520650163620
oct3363700140632130
9531056824372127
10122312104031320
1135a772aa068165
1211874aa41b6874
135332c9c379b48
14222bd1a3dd880
15e21942761a4a
hex6f3e01833458

122312104031320 has 64 divisors (see below), whose sum is σ = 315338032005120. Its totient is φ = 41826086116224.

The previous prime is 122312104031309. The next prime is 122312104031353. The reversal of 122312104031320 is 23130401213221.

122312104031320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570165532 + ... + 570380011.

It is an arithmetic number, because the mean of its divisors is an integer number (4927156750080).

Almost surely, 2122312104031320 is an apocalyptic number.

122312104031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312104031320 is an abundant number, since it is smaller than the sum of its proper divisors (193025927973800).

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

122312104031320 is a wasteful number, since it uses less digits than its factorization.

122312104031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140545944 (or 1140545940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122312104031320 its reverse (23130401213221), we get a palindrome (145442505244541).

The spelling of 122312104031320 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred four million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 5362 7660 10724 13405 15320 21448 26810 53620 107240 1140545543 2281091086 4562182172 5702727715 7983818801 9124364344 11405455430 15967637602 22810910860 31935275204 39919094005 45621821720 63870550408 79838188010 159676376020 319352752040 436828942969 873657885938 1747315771876 2184144714845 3057802600783 3494631543752 4368289429690 6115605201566 8736578859380 12231210403132 15289013003915 17473157718760 24462420806264 30578026007830 61156052015660 122312104031320