Search a number
-
+
1213311300123 = 313151277743791
BaseRepresentation
bin10001101001111110111…
…111010011001000011011
311021222202202021012221010
4101221332333103020123
5124334330143100443
62325215411545003
7153441661613136
oct21517677231033
94258682235833
101213311300123
1142862066397a
121771935bb163
138a551312a60
1442a2036921d
152186362e733
hex11a7efd321b

1213311300123 has 32 divisors (see below), whose sum is σ = 1760061786112. Its totient is φ = 739029744000.

The previous prime is 1213311300077. The next prime is 1213311300151. The reversal of 1213311300123 is 3210031133121.

It is a happy number.

It is not a de Polignac number, because 1213311300123 - 26 = 1213311300059 is a prime.

It is a super-2 number, since 2×12133113001232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1213311300123.

It is not an unprimeable number, because it can be changed into a prime (1213311300623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259358 + ... + 2003148.

It is an arithmetic number, because the mean of its divisors is an integer number (55001930816).

Almost surely, 21213311300123 is an apocalyptic number.

1213311300123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1213311300123 is a deficient number, since it is larger than the sum of its proper divisors (546750485989).

1213311300123 is a wasteful number, since it uses less digits than its factorization.

1213311300123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744235.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1213311300123 its reverse (3210031133121), we get a palindrome (4423342433244).

The spelling of 1213311300123 in words is "one trillion, two hundred thirteen billion, three hundred eleven million, three hundred thousand, one hundred twenty-three".

Divisors: 1 3 13 39 151 277 453 831 1963 3601 5889 10803 41827 125481 543751 743791 1631253 2231373 9669283 29007849 112312441 206030107 336937323 618090321 1460061733 2678391391 4380185199 8035174173 31110546157 93331638471 404437100041 1213311300123