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111434330040 = 233511719117413
BaseRepresentation
bin110011111001000000…
…0001110111110111000
3101122122001100111021220
41213302000032332320
53311204142030130
6123105304232040
711023306114455
oct1476200167670
9348561314256
10111434330040
1143293857540
121971b16b620
13a67b7084c7
1455718b082c
152d72ebe410
hex19f200efb8

111434330040 has 128 divisors (see below), whose sum is σ = 365204505600. Its totient is φ = 26976581120.

The previous prime is 111434330011. The next prime is 111434330069. The reversal of 111434330040 is 40033434111.

It is an interprime number because it is at equal distance from previous prime (111434330011) and next prime (111434330069).

It is a super-2 number, since 2×1114343300402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890374 + ... + 1007786.

It is an arithmetic number, because the mean of its divisors is an integer number (2853160200).

Almost surely, 2111434330040 is an apocalyptic number.

111434330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111434330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182602252800).

111434330040 is an abundant number, since it is smaller than the sum of its proper divisors (253770175560).

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

111434330040 is a wasteful number, since it uses less digits than its factorization.

111434330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118157 (or 118153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 111434330040 its reverse (40033434111), we get a palindrome (151467764151).

The spelling of 111434330040 in words is "one hundred eleven billion, four hundred thirty-four million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 719 1320 1438 2157 2876 3595 4314 5752 7190 7909 8628 10785 14380 15818 17256 21570 23727 28760 31636 39545 43140 47454 63272 79090 86280 94908 117413 118635 158180 189816 234826 237270 316360 352239 469652 474540 587065 704478 939304 949080 1174130 1291543 1408956 1761195 2348260 2583086 2817912 3522390 3874629 4696520 5166172 6457715 7044780 7749258 10332344 12915430 14089560 15498516 19373145 25830860 30997032 38746290 51661720 77492580 84419947 154985160 168839894 253259841 337679788 422099735 506519682 675359576 844199470 928619417 1013039364 1266299205 1688398940 1857238834 2026078728 2532598410 2785858251 3376797880 3714477668 4643097085 5065196820 5571716502 7428955336 9286194170 10130393640 11143433004 13929291255 18572388340 22286866008 27858582510 37144776680 55717165020 111434330040