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114313122 = 232711671231
BaseRepresentation
bin1101101000001…
…00011110100010
321222002201010100
412310010132202
5213231004442
615202043230
72555434260
oct664043642
9258081110
10114313122
1159588160
1232349516
131a8b5601
1411279430
15a08084c
hex6d047a2

114313122 has 96 divisors (see below), whose sum is σ = 313657344. Its totient is φ = 29224800.

The previous prime is 114313097. The next prime is 114313123. The reversal of 114313122 is 221313411.

It is a super-2 number, since 2×1143131222 = 26134979722773768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114313095 and 114313104.

It is not an unprimeable number, because it can be changed into a prime (114313123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92247 + ... + 93477.

It is an arithmetic number, because the mean of its divisors is an integer number (3267264).

Almost surely, 2114313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156828672).

114313122 is an abundant number, since it is smaller than the sum of its proper divisors (199344222).

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

114313122 is a wasteful number, since it uses less digits than its factorization.

114313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1321 counting only the distinct ones).

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

The square root of 114313122 is about 10691.7314781096. The cubic root of 114313122 is about 485.3242908583.

Adding to 114313122 its reverse (221313411), we get a palindrome (335626533).

It can be divided in two parts, 114 and 313122, that added together give a triangular number (313236 = T791).

The spelling of 114313122 in words is "one hundred fourteen million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 67 77 99 126 134 154 198 201 231 402 462 469 603 693 737 938 1206 1231 1386 1407 1474 2211 2462 2814 3693 4221 4422 5159 6633 7386 8442 8617 10318 11079 13266 13541 15477 17234 22158 25851 27082 30954 40623 46431 51702 77553 81246 82477 92862 94787 121869 155106 164954 189574 243738 247431 284361 494862 568722 577339 742293 853083 907247 1154678 1484586 1706166 1732017 1814494 2721741 3464034 5196051 5443482 6350729 8165223 10392102 12701458 16330446 19052187 38104374 57156561 114313122