Search a number
-
+
13223213010312 = 2334679117753197
BaseRepresentation
bin1100000001101100010011…
…1010100000110110001000
31201211010102110011022120120
43000123010322200312020
53213122120012312222
644042354334023240
72533226355030324
oct300330472406610
951733373138516
1013223213010312
114238a2a01a138
1215968b7347b20
1374bc36227846
1433a015002984
1517de7599515c
hexc06c4ea0d88

13223213010312 has 32 divisors (see below), whose sum is σ = 33065097998400. Its totient is φ = 4406795607104.

The previous prime is 13223213010277. The next prime is 13223213010317. The reversal of 13223213010312 is 21301031232231.

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

It is not an unprimeable number, because it can be changed into a prime (13223213010317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 58764303 + ... + 58988894.

It is an arithmetic number, because the mean of its divisors is an integer number (1033284312450).

Almost surely, 213223213010312 is an apocalyptic number.

13223213010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223213010312 is an abundant number, since it is smaller than the sum of its proper divisors (19841884988088).

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

13223213010312 is a wasteful number, since it uses less digits than its factorization.

13223213010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117757885 (or 117757881 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13223213010312 its reverse (21301031232231), we get a palindrome (34524244242543).

The spelling of 13223213010312 in words is "thirteen trillion, two hundred twenty-three billion, two hundred thirteen million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4679 9358 14037 18716 28074 37432 56148 112296 117753197 235506394 353259591 471012788 706519182 942025576 1413038364 2826076728 550967208763 1101934417526 1652901626289 2203868835052 3305803252578 4407737670104 6611606505156 13223213010312