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111432311430 = 23511577599977
BaseRepresentation
bin110011111000111100…
…0100010001010000110
3101122121220112221021120
41213301320202022012
53311203132431210
6123105153054410
711023253006346
oct1476170421206
9348556487246
10111432311430
11432926a8970
121971a557406
13a67b17c76b
145571506d26
152d72c21270
hex19f1e22286

111432311430 has 128 divisors (see below), whose sum is σ = 293043225600. Its totient is φ = 26894499840.

The previous prime is 111432311423. The next prime is 111432311437. The reversal of 111432311430 is 34113234111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111432311423) and next prime (111432311437).

It is a self number, because there is not a number n which added to its sum of digits gives 111432311430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111432311437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114055102 + ... + 114056078.

It is an arithmetic number, because the mean of its divisors is an integer number (2289400200).

Almost surely, 2111432311430 is an apocalyptic number.

111432311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111432311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146521612800).

111432311430 is an abundant number, since it is smaller than the sum of its proper divisors (181610914170).

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

111432311430 is a wasteful number, since it uses less digits than its factorization.

111432311430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 111432311430 its reverse (34113234111), we get a palindrome (145545545541).

The spelling of 111432311430 in words is "one hundred eleven billion, four hundred thirty-two million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 577 599 977 1154 1198 1731 1797 1954 2885 2931 2995 3462 3594 4885 5770 5862 5990 6347 6589 8655 8985 9770 10747 12694 13178 14655 17310 17970 19041 19767 21494 29310 31735 32241 32945 38082 39534 53735 63470 64482 65890 95205 98835 107470 161205 190410 197670 322410 345623 563729 585223 691246 1036869 1127458 1170446 1691187 1728115 1755669 2073738 2818645 2926115 3382374 3456230 3511338 3801853 5184345 5637290 5852230 6201019 6437453 7603706 8455935 8778345 10368690 11405559 12402038 12874906 16911870 17556690 18603057 19009265 19312359 22811118 31005095 32187265 37206114 38018530 38624718 57027795 62010190 64374530 93015285 96561795 114055590 186030570 193123590 337673671 675347342 1013021013 1688368355 2026042026 3376736710 3714410381 5065105065 7428820762 10130210130 11143231143 18572051905 22286462286 37144103810 55716155715 111432311430