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114312202121 = 13317310093851
BaseRepresentation
bin110101001110110001…
…0011100011110001001
3101221001121120112121202
41222131202130132021
53333102410431441
6124303031113545
711154522454205
oct1523542343611
9357047515552
10114312202121
1144530292417
121a1a2b128b5
13aa199cc3b0
145765ba5b05
152e9098c19b
hex1a9d89c789

114312202121 has 32 divisors (see below), whose sum is σ = 128978519040. Its totient is φ = 100590336000.

The previous prime is 114312202099. The next prime is 114312202163. The reversal of 114312202121 is 121202213411.

It is a cyclic number.

It is not a de Polignac number, because 114312202121 - 222 = 114308007817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114312202093 and 114312202102.

It is not an unprimeable number, because it can be changed into a prime (114312202421) 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, 29681846 + ... + 29685696.

It is an arithmetic number, because the mean of its divisors is an integer number (4030578720).

Almost surely, 2114312202121 is an apocalyptic number.

It is an amenable number.

114312202121 is a deficient number, since it is larger than the sum of its proper divisors (14666316919).

114312202121 is a wasteful number, since it uses less digits than its factorization.

114312202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114312202121 its reverse (121202213411), we get a palindrome (235514415532).

The spelling of 114312202121 in words is "one hundred fourteen billion, three hundred twelve million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 13 31 73 403 949 1009 2263 3851 13117 29419 31279 50063 73657 119381 281123 406627 957541 1551953 2283367 3654599 3885659 8714813 29683771 50513567 113292569 120455429 283653107 1565920577 3687490391 8793246317 114312202121