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111430412412 = 2231119162127409
BaseRepresentation
bin110011111000111000…
…1010010100001111100
3101122121202222110022120
41213301301102201330
53311202141144122
6123105044242540
711023230610014
oct1476161224174
9348552873276
10111430412412
1143291621130
12197199a0450
13a67a966297
145571170c44
152d7299875c
hex19f1c5287c

111430412412 has 96 divisors (see below), whose sum is σ = 298764614400. Its totient is φ = 31968691200.

The previous prime is 111430412411. The next prime is 111430412419. The reversal of 111430412412 is 214214034111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111430412411) by changing a digit.

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, 4051764 + ... + 4079172.

It is an arithmetic number, because the mean of its divisors is an integer number (3112131400).

Almost surely, 2111430412412 is an apocalyptic number.

111430412412 is a gapful number since it is divisible by the number (12) 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 111430412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149382307200).

111430412412 is an abundant number, since it is smaller than the sum of its proper divisors (187334201988).

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

111430412412 is a wasteful number, since it uses less digits than its factorization.

111430412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067 (or 29065 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111430412412 its reverse (214214034111), we get a palindrome (325644446523).

The spelling of 111430412412 in words is "one hundred eleven billion, four hundred thirty million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1621 2508 3242 4863 6484 9726 17831 19452 27409 30799 35662 53493 54818 61598 71324 82227 92397 106986 109636 123196 164454 184794 213972 301499 328908 338789 369588 520771 602998 677578 904497 1016367 1041542 1205996 1355156 1562313 1808994 2032734 2083084 3124626 3617988 4065468 5728481 6249252 11456962 17185443 22913924 34370886 44429989 68741772 88859978 133289967 177719956 266579934 488729879 533159868 844169791 977459758 1466189637 1688339582 1954919516 2532509373 2932379274 3376679164 5065018746 5864758548 9285867701 10130037492 18571735402 27857603103 37143470804 55715206206 111430412412