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113541520115240 = 23572925215546587
BaseRepresentation
bin11001110100001111110001…
…111110010100011000101000
3112220000110111202110011101122
4121310033301332110120220
5104340231013122141430
61041252130530434412
732626050500021060
oct3164176176243050
9486013452404348
10113541520115240
11331a57630a1498
1210899135432a08
134b47bc4c17649
1420076204863a0
15d1d71ec40ee5
hex6743f1f94628

113541520115240 has 128 divisors (see below), whose sum is σ = 302151490617600. Its totient is φ = 37571242383360.

The previous prime is 113541520115237. The next prime is 113541520115291. The reversal of 113541520115240 is 42511025145311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 113541520115240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17697227 + ... + 23243813.

It is an arithmetic number, because the mean of its divisors is an integer number (2360558520450).

Almost surely, 2113541520115240 is an apocalyptic number.

113541520115240 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 113541520115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151075745308800).

113541520115240 is an abundant number, since it is smaller than the sum of its proper divisors (188609970502360).

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

113541520115240 is a wasteful number, since it uses less digits than its factorization.

113541520115240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549155 (or 5549151 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 113541520115240 in words is "one hundred thirteen trillion, five hundred forty-one billion, five hundred twenty million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 2521 4060 5042 8120 10084 12605 17647 20168 25210 35294 50420 70588 73109 88235 100840 141176 146218 176470 292436 352940 365545 511763 584872 705880 731090 1023526 1462180 2047052 2558815 2924360 4094104 5117630 5546587 10235260 11093174 20470520 22186348 27732935 38826109 44372696 55465870 77652218 110931740 155304436 160851023 194130545 221863480 310608872 321702046 388261090 643404092 776522180 804255115 1125957161 1286808184 1553044360 1608510230 2251914322 3217020460 4503828644 5629785805 6434040920 9007657288 11259571610 13982945827 22519143220 27965891654 45038286440 55931783308 69914729135 97880620789 111863566616 139829458270 195761241578 279658916540 391522483156 405505428983 489403103945 559317833080 783044966312 811010857966 978806207890 1622021715932 1957612415780 2027527144915 2838538002881 3244043431864 3915224831560 4055054289830 5677076005762 8110108579660 11354152011524 14192690014405 16220217159320 22708304023048 28385380028810 56770760057620 113541520115240