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111323142414 = 232111797340957
BaseRepresentation
bin110011110101101100…
…0000101100100001110
3101122100022010120112200
41213223120011210032
53310442211024124
6123050253142330
711020456045341
oct1475330054416
9348308116480
10111323142414
1143237014640
12196a9a8a9a6
13a661678703
145560c0a458
152d68359bc9
hex19eb60590e

111323142414 has 96 divisors (see below), whose sum is σ = 281478558816. Its totient is φ = 31422504960.

The previous prime is 111323142389. The next prime is 111323142439. The reversal of 111323142414 is 414241323111.

It is a happy number.

111323142414 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 231 + 424 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (111323142389) and next prime (111323142439).

It is a super-3 number, since 3×1113231424143 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156024 + ... + 496980.

It is an arithmetic number, because the mean of its divisors is an integer number (2932068321).

Almost surely, 2111323142414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111323142414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140739279408).

111323142414 is an abundant number, since it is smaller than the sum of its proper divisors (170155416402).

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

111323142414 is a wasteful number, since it uses less digits than its factorization.

111323142414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341090 (or 341087 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 111323142414 its reverse (414241323111), we get a palindrome (525564465525).

The spelling of 111323142414 in words is "one hundred eleven billion, three hundred twenty-three million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 97 99 102 153 187 194 198 291 306 374 561 582 873 1067 1122 1649 1683 1746 2134 3201 3298 3366 4947 6402 9603 9894 14841 18139 19206 29682 36278 54417 108834 163251 326502 340957 681914 1022871 2045742 3068613 3750527 5796269 6137226 7501054 11251581 11592538 17388807 22503162 33072829 33754743 34777614 52166421 63758959 66145658 67509486 99218487 104332842 127517918 191276877 198436974 297655461 363801119 382553754 562238093 573830631 595310922 727602238 1091403357 1124476186 1147661262 1686714279 2182806714 3274210071 3373428558 5060142837 6184619023 6548420142 10120285674 12369238046 18553857069 37107714138 55661571207 111323142414