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113533000240 = 24511536733617
BaseRepresentation
bin110100110111100011…
…0000001101000110000
3101212001022100222120211
41221233012001220300
53330003422001430
6124053434113504
711126311402462
oct1515706015060
9355038328524
10113533000240
1144170467520
121a005b7b894
13a92444bcaa
1456d04d2132
152e4737272a
hex1a6f181a30

113533000240 has 160 divisors (see below), whose sum is σ = 293911384896. Its totient is φ = 40434401280.

The previous prime is 113533000181. The next prime is 113533000271. The reversal of 113533000240 is 42000335311.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 31386912 + ... + 31390528.

Almost surely, 2113533000240 is an apocalyptic number.

113533000240 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 113533000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146955692448).

113533000240 is an abundant number, since it is smaller than the sum of its proper divisors (180378384656).

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

113533000240 is a wasteful number, since it uses less digits than its factorization.

113533000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 113533000240 its reverse (42000335311), we get a palindrome (155533335551).

The spelling of 113533000240 in words is "one hundred thirteen billion, five hundred thirty-three million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 673 848 880 1060 1166 1346 2120 2332 2692 2915 3365 3617 4240 4664 5384 5830 6730 7234 7403 9328 10768 11660 13460 14468 14806 18085 23320 26920 28936 29612 35669 36170 37015 39787 46640 53840 57872 59224 71338 72340 74030 79574 118448 142676 144680 148060 159148 178345 191701 198935 285352 289360 296120 318296 356690 383402 392359 397870 570704 592240 636592 713380 766804 784718 795740 958505 1426760 1533608 1569436 1591480 1917010 1961795 2108711 2434241 2853520 3067216 3138872 3182960 3834020 3923590 4217422 4868482 6277744 7668040 7847180 8434844 9736964 10543555 12171205 15336080 15694360 16869688 19473928 21087110 24342410 26776651 31388720 33739376 38947856 42174220 48684820 53553302 84348440 97369640 107106604 129014773 133883255 168696880 194739280 214213208 258029546 267766510 428426416 516059092 535533020 645073865 1032118184 1071066040 1290147730 1419162503 2064236368 2142132080 2580295460 2838325006 5160590920 5676650012 7095812515 10321181840 11353300024 14191625030 22706600048 28383250060 56766500120 113533000240