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114333132 = 223131257283
BaseRepresentation
bin1101101000010…
…01010111001100
321222010201120110
412310021113030
5213232130012
615202320020
72555546514
oct664112714
9258121513
10114333132
11595a11a1
1232359010
131a8c1754
1411282844
15a08673c
hex6d095cc

114333132 has 48 divisors (see below), whose sum is σ = 270813312. Its totient is φ = 37539840.

The previous prime is 114333113. The next prime is 114333139. The reversal of 114333132 is 231333411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114333099 and 114333108.

It is not an unprimeable number, because it can be changed into a prime (114333139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403863 + ... + 404145.

It is an arithmetic number, because the mean of its divisors is an integer number (5641944).

Almost surely, 2114333132 is an apocalyptic number.

114333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114333132 is an abundant number, since it is smaller than the sum of its proper divisors (156480180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114333132 is a wasteful number, since it uses less digits than its factorization.

114333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 114333132 is about 10692.6672070162. The cubic root of 114333132 is about 485.3526071540.

Adding to 114333132 its reverse (231333411), we get a palindrome (345666543).

The spelling of 114333132 in words is "one hundred fourteen million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 131 257 262 283 393 514 524 566 771 786 849 1028 1132 1542 1572 1698 3084 3396 33667 37073 67334 72731 74146 101001 111219 134668 145462 148292 202002 218193 222438 290924 404004 436386 444876 872772 9527761 19055522 28583283 38111044 57166566 114333132