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114235121 = 73111317137
BaseRepresentation
bin1101100111100…
…01011011110001
321221221202010102
412303301123301
5213221010441
615200242145
72554661000
oct663613361
9257852112
10114235121
11595345a0
1232310355
131a888c60
1411258c37
15a06769b
hex6cf16f1

114235121 has 64 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 76769280.

The previous prime is 114235117. The next prime is 114235129. The reversal of 114235121 is 121532411.

It is not a de Polignac number, because 114235121 - 22 = 114235117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114235093 and 114235102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114235129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833765 + ... + 833901.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2114235121 is an apocalyptic number.

114235121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114235121 is a deficient number, since it is larger than the sum of its proper divisors (52689679).

114235121 is a wasteful number, since it uses less digits than its factorization.

114235121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 114235121 is about 10688.0831302905. The cubic root of 114235121 is about 485.2138795225.

Adding to 114235121 its reverse (121532411), we get a palindrome (235767532).

It can be divided in two parts, 1142 and 35121, that added together give a palindrome (36263).

The spelling of 114235121 in words is "one hundred fourteen million, two hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 7 11 13 17 49 77 91 119 137 143 187 221 343 539 637 833 959 1001 1309 1507 1547 1781 2329 2431 3773 4459 5831 6713 7007 9163 10549 10829 12467 16303 17017 19591 25619 30277 46991 49049 64141 73843 75803 87269 114121 119119 137137 179333 211939 333047 516901 610883 798847 833833 959959 1255331 1483573 2331329 6719713 8787317 10385011 16319303 114235121