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114213312411 = 31119293621701
BaseRepresentation
bin110101001011110100…
…1001101011110011011
3101220210201111102102220
41222113221031132123
53332402101444121
6124245135355123
711152212065052
oct1522751153633
9356721442386
10114213312411
114448a48a090
121a175982aa3
13aa02387083
1457569c3399
152e86e566c6
hex1a97a4d79b

114213312411 has 32 divisors (see below), whose sum is σ = 175469172480. Its totient is φ = 65353104000.

The previous prime is 114213312403. The next prime is 114213312469.

114213312411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114213312411 - 23 = 114213312403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114213312401) 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, 127140 + ... + 494561.

It is an arithmetic number, because the mean of its divisors is an integer number (5483411640).

Almost surely, 2114213312411 is an apocalyptic number.

114213312411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114213312411 is a deficient number, since it is larger than the sum of its proper divisors (61255860069).

114213312411 is a wasteful number, since it uses less digits than its factorization.

114213312411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622027.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 114213 and 312411, that added together give a palindrome (426624).

The spelling of 114213312411 in words is "one hundred fourteen billion, two hundred thirteen million, three hundred twelve thousand, four hundred eleven".

Divisors: 1 3 11 19 33 57 209 293 627 879 3223 5567 9669 16701 61237 183711 621701 1865103 6838711 11812319 20516133 35436957 129935509 182158393 389806527 546475179 2003742323 3461009467 6011226969 10383028401 38071104137 114213312411