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113524313240 = 23513477336337
BaseRepresentation
bin110100110111010010…
…0111000110010011000
3101212000201000122021002
41221232210320302120
53324444211010430
6124052524004132
711126144512112
oct1515644706230
9355021018232
10113524313240
1144166573888
121a003090648
13a9226c9c60
1456cd2b03b2
152e46708845
hex1a6e938c98

113524313240 has 128 divisors (see below), whose sum is σ = 281358524160. Its totient is φ = 40962392064.

The previous prime is 113524313237. The next prime is 113524313263. The reversal of 113524313240 is 42313425311.

It is a super-2 number, since 2×1135243132402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 17911352 + ... + 17917688.

It is an arithmetic number, because the mean of its divisors is an integer number (2198113470).

Almost surely, 2113524313240 is an apocalyptic number.

113524313240 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 113524313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140679262080).

113524313240 is an abundant number, since it is smaller than the sum of its proper divisors (167834210920).

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

113524313240 is a wasteful number, since it uses less digits than its factorization.

113524313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 113524313240 its reverse (42313425311), we get a palindrome (155837738551).

The spelling of 113524313240 in words is "one hundred thirteen billion, five hundred twenty-four million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 733 940 1222 1466 1880 2444 2932 3055 3665 4888 5864 6110 6337 7330 9529 12220 12674 14660 19058 24440 25348 29320 31685 34451 38116 47645 50696 63370 68902 76232 82381 95290 126740 137804 164762 172255 190580 253480 275608 297839 329524 344510 381160 411905 447863 595678 659048 689020 823810 895726 1191356 1378040 1489195 1647620 1791452 2239315 2382712 2978390 3295240 3582904 3871907 4478630 4645021 5956780 7743814 8957260 9290042 11913560 15487628 17914520 18580084 19359535 23225105 30975256 37160168 38719070 46450210 60385273 77438140 92900420 120770546 154876280 185800840 218315987 241541092 301926365 436631974 483082184 603852730 873263948 1091579935 1207705460 1746527896 2183159870 2415410920 2838107831 4366319740 5676215662 8732639480 11352431324 14190539155 22704862648 28381078310 56762156620 113524313240