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113545424500 = 2253536776329
BaseRepresentation
bin110100110111111010…
…1011010111001110100
3101212002011202012110121
41221233311122321310
53330020112041000
6124055000301324
711126522120014
oct1515765327164
9355064665417
10113545424500
1144177483002
121a00a171844
13a926bac121
1456d2007c44
152e484c8b1a
hex1a6fd5ae74

113545424500 has 96 divisors (see below), whose sum is σ = 253075324320. Its totient is φ = 44488371200.

The previous prime is 113545424483. The next prime is 113545424527. The reversal of 113545424500 is 5424545311.

It can be written as a sum of positive squares in 16 ways, for example, as 16493237476 + 97052187024 = 128426^2 + 311532^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17937336 + ... + 17943664.

It is an arithmetic number, because the mean of its divisors is an integer number (2636201295).

Almost surely, 2113545424500 is an apocalyptic number.

113545424500 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 113545424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126537662160).

113545424500 is an abundant number, since it is smaller than the sum of its proper divisors (139529899820).

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

113545424500 is a wasteful number, since it uses less digits than its factorization.

113545424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 113545424500 its reverse (5424545311), we get a palindrome (118969969811).

The spelling of 113545424500 in words is "one hundred thirteen billion, five hundred forty-five million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 677 1060 1325 1354 2650 2708 3385 5300 6329 6625 6770 12658 13250 13540 16925 25316 26500 31645 33850 35881 63290 67700 71762 84625 126580 143524 158225 169250 179405 316450 335437 338500 358810 632900 670874 717620 791125 897025 1341748 1582250 1677185 1794050 3164500 3354370 3588100 4284733 4485125 6708740 8385925 8569466 8970250 16771850 17138932 17940500 21423665 33543700 41929625 42847330 83859250 85694660 107118325 167718500 214236650 227090849 428473300 454181698 535591625 908363396 1071183250 1135454245 2142366500 2270908490 4541816980 5677271225 11354542450 22709084900 28386356125 56772712250 113545424500