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114331041 = 33113311163
BaseRepresentation
bin1101101000010…
…00110110100001
321222010121201000
412310020312201
5213232043131
615202302213
72555540436
oct664106641
9258117630
10114331041
115959a670
1232357969
131a8c0806
1411281b8d
15a085ce6
hex6d08da1

114331041 has 32 divisors (see below), whose sum is σ = 185495040. Its totient is φ = 69022800.

The previous prime is 114331031. The next prime is 114331043. The reversal of 114331041 is 140133411.

It is not a de Polignac number, because 114331041 - 26 = 114330977 is a prime.

It is a super-2 number, since 2×1143310412 = 26143173872287362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114331043) 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, 97726 + ... + 98888.

It is an arithmetic number, because the mean of its divisors is an integer number (5796720).

Almost surely, 2114331041 is an apocalyptic number.

114331041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114331041 is a deficient number, since it is larger than the sum of its proper divisors (71163999).

114331041 is a wasteful number, since it uses less digits than its factorization.

114331041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114331041 is about 10692.5694292813. The cubic root of 114331041 is about 485.3496483194.

Adding to 114331041 its reverse (140133411), we get a palindrome (254464452).

The spelling of 114331041 in words is "one hundred fourteen million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 11 27 33 99 297 331 993 1163 2979 3489 3641 8937 10467 10923 12793 31401 32769 38379 98307 115137 345411 384953 1154859 3464577 4234483 10393731 12703449 38110347 114331041