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111404431051100 = 225211331466365617
BaseRepresentation
bin11001010101001001011101…
…100010100000100101011100
3112121110011022100100021222122
4121111021131202200211130
5104100222233322113400
61032534253351202112
732315463440502125
oct3125113542404534
9477404270307878
10111404431051100
1132551399025790
12105b2b12676338
134a21514bc0855
141d72008c2904c
15cd2d41891685
hex65525d8a095c

111404431051100 has 144 divisors (see below), whose sum is σ = 264582182489856. Its totient is φ = 40379036544000.

The previous prime is 111404431051091. The next prime is 111404431051103. The reversal of 111404431051100 is 1150134404111.

It is a super-2 number, since 2×1114044310511002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111404431051100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111404431051103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697765492 + ... + 1697831108.

Almost surely, 2111404431051100 is an apocalyptic number.

111404431051100 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 111404431051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132291091244928).

111404431051100 is an abundant number, since it is smaller than the sum of its proper divisors (153177751438756).

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

111404431051100 is a wasteful number, since it uses less digits than its factorization.

111404431051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70636 (or 70629 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 111404431051100 its reverse (1150134404111), we get a palindrome (112554565455211).

The spelling of 111404431051100 in words is "one hundred eleven trillion, four hundred four billion, four hundred thirty-one million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 331 550 662 1100 1324 1655 3310 3641 4663 6620 7282 8275 9326 14564 16550 18205 18652 23315 33100 36410 46630 51293 65617 72820 91025 93260 102586 116575 131234 182050 205172 233150 256465 262468 328085 364100 466300 512930 656170 721787 1025860 1282325 1312340 1443574 1543453 1640425 2564650 2887148 3086906 3280850 3608935 5129300 6173812 6561700 7217870 7717265 14435740 15434530 16977983 18044675 21719227 30869060 33955966 36089350 38586325 43438454 67911932 72178700 77172650 84889915 86876908 108596135 154345300 169779830 217192270 238911497 305972071 339559660 424449575 434384540 477822994 542980675 611944142 848899150 955645988 1085961350 1194557485 1223888284 1529860355 1697798300 2171922700 2389114970 3059720710 3365692781 4778229940 5972787425 6119441420 6731385562 7649301775 11945574850 13462771124 15298603550 16828463905 23891149700 30597207100 33656927810 67313855620 84142319525 101276755501 168284639050 202553511002 336569278100 405107022004 506383777505 1012767555010 1114044310511 2025535110020 2228088621022 2531918887525 4456177242044 5063837775050 5570221552555 10127675550100 11140443105110 22280886210220 27851107762775 55702215525550 111404431051100