Search a number
-
+
23141104022211 = 3710396791105343
BaseRepresentation
bin1010100001011111101010…
…10010001111001011000011
310000221021020022211210121120
411100233311102033023003
511013120440112202321
6121114513150323323
74605614062462650
oct520576522171303
9100837208753546
1023141104022211
1174120a5a2a0aa
122718a98ab9543
13cbb2733342b6
145a006d24ac27
152a1e471c8ec6
hex150bf548f2c3

23141104022211 has 32 divisors (see below), whose sum is σ = 35608701173760. Its totient is φ = 13093739848224.

The previous prime is 23141104022203. The next prime is 23141104022219. The reversal of 23141104022211 is 11222040114132.

It is an interprime number because it is at equal distance from previous prime (23141104022203) and next prime (23141104022219).

It is not a de Polignac number, because 23141104022211 - 23 = 23141104022203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23141104022219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20383006 + ... + 21488348.

It is an arithmetic number, because the mean of its divisors is an integer number (1112771911680).

Almost surely, 223141104022211 is an apocalyptic number.

23141104022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23141104022211 is a deficient number, since it is larger than the sum of its proper divisors (12467597151549).

23141104022211 is a wasteful number, since it uses less digits than its factorization.

23141104022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115135.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 23141104022211 its reverse (11222040114132), we get a palindrome (34363144136343).

The spelling of 23141104022211 in words is "twenty-three trillion, one hundred forty-one billion, one hundred four million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 21 103 309 721 2163 9679 29037 67753 203259 996937 1105343 2990811 3316029 6978559 7737401 20935677 23212203 113850329 341550987 796952303 2390856909 10698614897 32095844691 74890304279 224670912837 1101957334391 3305872003173 7713701340737 23141104022211