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114304331121 = 3231739575633
BaseRepresentation
bin110101001110100010…
…0011010110101110001
3101221001001202122122020
41222131010122311301
53333043402043441
6124302150302053
711154365532531
oct1523504326561
9357031678566
10114304331121
11445268a6862
121a1a0357929
13aa181a48b6
145764b174c1
152e8ee34e66
hex1a9d11ad71

114304331121 has 16 divisors (see below), whose sum is σ = 159951390336. Its totient is φ = 72468382976.

The previous prime is 114304331101. The next prime is 114304331153. The reversal of 114304331121 is 121133403411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114304331121 - 27 = 114304330993 is a prime.

It is a super-2 number, since 2×1143043311212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114304331091 and 114304331100.

It is not an unprimeable number, because it can be changed into a prime (114304331101) 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, 4775880 + ... + 4799753.

It is an arithmetic number, because the mean of its divisors is an integer number (9996961896).

Almost surely, 2114304331121 is an apocalyptic number.

It is an amenable number.

114304331121 is a deficient number, since it is larger than the sum of its proper divisors (45647059215).

114304331121 is a wasteful number, since it uses less digits than its factorization.

114304331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575832.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114304331121 its reverse (121133403411), we get a palindrome (235437734532).

The spelling of 114304331121 in words is "one hundred fourteen billion, three hundred four million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 23 69 173 519 3979 11937 9575633 28726899 220239559 660718677 1656584509 4969753527 38101443707 114304331121