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114126831 = 327213171171
BaseRepresentation
bin1101100110101…
…10111111101111
321221202020120200
412303112333233
5213204024311
615154044543
72554030200
oct663267757
9257666520
10114126831
11594701a5
1232279753
131a84b890
141122b5a7
15a045556
hex6cd6fef

114126831 has 72 divisors (see below), whose sum is σ = 218849904. Its totient is φ = 56609280.

The previous prime is 114126811. The next prime is 114126847. The reversal of 114126831 is 138621411.

It is a happy number.

It is not a de Polignac number, because 114126831 - 27 = 114126703 is a prime.

It is a super-2 number, since 2×1141268312 = 26049867108205122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114126795 and 114126804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114126811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96876 + ... + 98046.

It is an arithmetic number, because the mean of its divisors is an integer number (3039582).

Almost surely, 2114126831 is an apocalyptic number.

114126831 is a deficient number, since it is larger than the sum of its proper divisors (104723073).

114126831 is a wasteful number, since it uses less digits than its factorization.

114126831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 114126831 is about 10683.0160067277. The cubic root of 114126831 is about 485.0605103940.

It can be divided in two parts, 1141 and 26831, that added together give a palindrome (27972).

The spelling of 114126831 in words is "one hundred fourteen million, one hundred twenty-six thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 273 357 441 637 663 819 833 1071 1171 1547 1911 1989 2499 3513 4641 5733 7497 8197 10539 10829 13923 15223 19907 24591 32487 45669 57379 59721 73773 97461 106561 137007 139349 172137 179163 258791 319683 418047 516411 745927 776373 959049 975443 1254141 1811537 2237781 2329119 2926329 5434611 6713343 8778987 12680759 16303833 38042277 114126831