Search a number
-
+
13213321120 = 255839071097
BaseRepresentation
bin11000100111001001…
…10100011110100000
31021002212012021000201
430103210310132200
5204030102233440
610023051154544
7645303243046
oct142344643640
937085167021
1013213321120
1156706367aa
122689145a54
13132764140c
148d4c18396
1552503d19a
hex3139347a0

13213321120 has 96 divisors (see below), whose sum is σ = 31656235968. Its totient is φ = 5211138048.

The previous prime is 13213321057. The next prime is 13213321141. The reversal of 13213321120 is 2112331231.

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, 12044412 + ... + 12045508.

It is an arithmetic number, because the mean of its divisors is an integer number (329752458).

Almost surely, 213213321120 is an apocalyptic number.

13213321120 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 13213321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828117984).

13213321120 is an abundant number, since it is smaller than the sum of its proper divisors (18442914848).

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

13213321120 is a wasteful number, since it uses less digits than its factorization.

13213321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13213321120 its reverse (2112331231), we get a palindrome (15325652351).

The spelling of 13213321120 in words is "thirteen billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 907 1097 1328 1660 1814 2194 2656 3320 3628 4388 4535 5485 6640 7256 8776 9070 10970 13280 14512 17552 18140 21940 29024 35104 36280 43880 72560 75281 87760 91051 145120 150562 175520 182102 301124 364204 376405 455255 602248 728408 752810 910510 994979 1204496 1456816 1505620 1821020 1989958 2408992 2913632 3011240 3642040 3979916 4974895 6022480 7284080 7959832 9949790 12044960 14568160 15919664 19899580 31839328 39799160 79598320 82583257 159196640 165166514 330333028 412916285 660666056 825832570 1321332112 1651665140 2642664224 3303330280 6606660560 13213321120