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114233234401 = 11133271244217
BaseRepresentation
bin110101001100011010…
…1001101001111100001
3101220212002222120021101
41222120311031033201
53332422202000101
6124251130354401
711152543320466
oct1523065151741
9356762876241
10114233234401
114449a756840
121a18058ba01
13aa06540b30
1457594cb66d
152e88a8e401
hex1a98d4d3e1

114233234401 has 16 divisors (see below), whose sum is σ = 134245657728. Its totient is φ = 95830358400.

The previous prime is 114233234399. The next prime is 114233234461. The reversal of 114233234401 is 104432332411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114233234401 - 21 = 114233234399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114233234401.

It is not an unprimeable number, because it can be changed into a prime (114233234461) 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 15 ways as a sum of consecutive naturals, for example, 345645 + ... + 589861.

It is an arithmetic number, because the mean of its divisors is an integer number (8390353608).

Almost surely, 2114233234401 is an apocalyptic number.

114233234401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114233234401 is a deficient number, since it is larger than the sum of its proper divisors (20012423327).

114233234401 is a wasteful number, since it uses less digits than its factorization.

114233234401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247512.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 114233234401 its reverse (104432332411), we get a palindrome (218665566812).

The spelling of 114233234401 in words is "one hundred fourteen billion, two hundred thirty-three million, two hundred thirty-four thousand, four hundred one".

Divisors: 1 11 13 143 3271 35981 42523 244217 467753 2686387 3174821 34923031 798833807 8787171877 10384839491 114233234401