Search a number
-
+
1110000312213 = 313671607264343
BaseRepresentation
bin10000001001110001001…
…011001001111110010101
310221010002211102021010120
4100021301023021332111
5121141240034442323
62205532130542153
7143123561656512
oct20116113117625
93833084367116
101110000312213
11398826269631
1215b160a37959
1380898874890
143ba1d6ac309
151dd188c15e3
hex102712c9f95

1110000312213 has 32 divisors (see below), whose sum is σ = 1618648098816. Its totient is φ = 672460671168.

The previous prime is 1110000312209. The next prime is 1110000312247. The reversal of 1110000312213 is 3122130000111.

It is a happy number.

It is not a de Polignac number, because 1110000312213 - 22 = 1110000312209 is a prime.

It is a super-2 number, since 2×11100003122132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1110000312192 and 1110000312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000312263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4066920 + ... + 4331262.

It is an arithmetic number, because the mean of its divisors is an integer number (50582753088).

Almost surely, 21110000312213 is an apocalyptic number.

1110000312213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1110000312213 is a deficient number, since it is larger than the sum of its proper divisors (508647786603).

1110000312213 is a wasteful number, since it uses less digits than its factorization.

1110000312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266033.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1110000312213 its reverse (3122130000111), we get a palindrome (4232130312324).

The spelling of 1110000312213 in words is "one trillion, one hundred ten billion, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 13 39 67 201 871 1607 2613 4821 20891 62673 107669 264343 323007 793029 1399697 3436459 4199091 10309377 17710981 53132943 230242753 424799201 690728259 1274397603 5522389613 16567168839 28461546467 85384639401 370000104071 1110000312213