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113032323011100 = 223523141296439347
BaseRepresentation
bin11001101100110101100011…
…011101100001001000011100
3112211012210011221021011002110
4121230311203131201020130
5104303410144142323400
61040222155441354020
732544213223033623
oct3154654335411034
9484183157234073
10113032323011100
1133019814658589
1210816508338910
134b0bb9653741c
141dcab179c06ba
15d1036b999e50
hex66cd6376121c

113032323011100 has 144 divisors (see below), whose sum is σ = 345823771862016. Its totient is φ = 28458177216000.

The previous prime is 113032323011099. The next prime is 113032323011107. The reversal of 113032323011100 is 1110323230311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032323011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147838374 + ... + 148600973.

It is an arithmetic number, because the mean of its divisors is an integer number (2401553971264).

Almost surely, 2113032323011100 is an apocalyptic number.

113032323011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113032323011100 is an abundant number, since it is smaller than the sum of its proper divisors (232791448850916).

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

113032323011100 is a wasteful number, since it uses less digits than its factorization.

113032323011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296439436 (or 296439429 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113032323011100 its reverse (1110323230311), we get a palindrome (114142646241411).

The spelling of 113032323011100 in words is "one hundred thirteen trillion, thirty-two billion, three hundred twenty-three million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 186 205 246 300 310 372 410 465 492 615 620 775 820 930 1025 1230 1271 1550 1860 2050 2325 2460 2542 3075 3100 3813 4100 4650 5084 6150 6355 7626 9300 12300 12710 15252 19065 25420 31775 38130 63550 76260 95325 127100 190650 381300 296439347 592878694 889318041 1185757388 1482196735 1778636082 2964393470 3557272164 4446590205 5928786940 7410983675 8893180410 9189619757 12154013227 14821967350 17786360820 18379239514 22232951025 24308026454 27568859271 29643934700 36462039681 36758479028 44465902050 45948098785 48616052908 55137718542 60770066135 72924079362 88931804100 91896197570 110275437084 121540132270 137844296355 145848158724 182310198405 183792395140 229740493925 243080264540 275688592710 303850330675 364620396810 376774410037 459480987850 551377185420 607700661350 689221481775 729240793620 753548820074 911550992025 918961975700 1130323230111 1215401322700 1378442963550 1507097640148 1823101984050 1883872050185 2260646460222 2756885927100 3646203968100 3767744100370 4521292920444 5651616150555 7535488200740 9419360250925 11303232301110 18838720501850 22606464602220 28258080752775 37677441003700 56516161505550 113032323011100