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11312004223 = 1319127116811
BaseRepresentation
bin10101000100011111…
…10111110001111111
31002012100112100120101
422202033313301333
5141131333113343
65110251301531
7550215310102
oct124217676177
932170470511
1011312004223
114885371223
12223844a8a7
1310b3769330
147944ca739
1546316ee4d
hex2a23f7c7f

11312004223 has 16 divisors (see below), whose sum is σ = 12291858432. Its totient is φ = 10348236000.

The previous prime is 11312004211. The next prime is 11312004259. The reversal of 11312004223 is 32240021311.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11312004223 is a prime.

It is a super-2 number, since 2×113120042232 (a number of 21 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 11312004223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312004623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664488 + ... + 681298.

It is an arithmetic number, because the mean of its divisors is an integer number (768241152).

Almost surely, 211312004223 is an apocalyptic number.

11312004223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11312004223 is a deficient number, since it is larger than the sum of its proper divisors (979854209).

11312004223 is a wasteful number, since it uses less digits than its factorization.

11312004223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17286.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11312004223 its reverse (32240021311), we get a palindrome (43552025534).

The spelling of 11312004223 in words is "eleven billion, three hundred twelve million, four thousand, two hundred twenty-three".

Divisors: 1 13 191 271 2483 3523 16811 51761 218543 672893 3210901 4555781 41741713 59225153 870154171 11312004223