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111211432134 = 231123376413089
BaseRepresentation
bin110011110010010110…
…1111100100011000110
3101122001111221002211220
41213210231330203012
53310230111312014
6123031222541210
711014631401365
oct1474455744306
9348044832756
10111211432134
1143189a54aa0
1219678597806
13a644494a5a
14555004b7dc
152d5d6406a9
hex19e4b7c8c6

111211432134 has 128 divisors (see below), whose sum is σ = 260525859840. Its totient is φ = 31304908800.

The previous prime is 111211432121. The next prime is 111211432183. The reversal of 111211432134 is 431234112111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36000862 + ... + 36003950.

It is an arithmetic number, because the mean of its divisors is an integer number (2035358280).

Almost surely, 2111211432134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111211432134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130262929920).

111211432134 is an abundant number, since it is smaller than the sum of its proper divisors (149314427706).

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

111211432134 is a wasteful number, since it uses less digits than its factorization.

111211432134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806.

The product of its digits is 576, while the sum is 24.

Adding to 111211432134 its reverse (431234112111), we get a palindrome (542445544245).

It can be divided in two parts, 111211 and 432134, that added together give a palindrome (543345).

The spelling of 111211432134 in words is "one hundred eleven billion, two hundred eleven million, four hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 641 759 814 851 1221 1282 1518 1702 1923 2442 2553 3089 3846 5106 6178 7051 9267 9361 14102 14743 18534 18722 21153 23717 28083 29486 33979 42306 44229 47434 56166 67958 71047 71151 88458 101937 114293 142094 142302 162173 203874 213141 228586 260887 324346 342879 426282 486519 521774 545491 685758 781517 782661 973038 1090982 1257223 1563034 1565322 1636473 1980049 2344551 2514446 2628739 3272946 3771669 3960098 4689102 5257478 5940147 6000401 7543338 7886217 11880294 12000802 15772434 18001203 21780539 28916129 36002406 43561078 45541127 57832258 65341617 73261813 86748387 91082254 130683234 136623381 146523626 173496774 219785439 273246762 439570878 500952397 805879943 1001904794 1502857191 1611759886 1685021699 2417639829 3005714382 3370043398 4835279658 5055065097 10110130194 18535238689 37070477378 55605716067 111211432134