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113104000240 = 24571146739317
BaseRepresentation
bin110100101010110000…
…1100001010011110000
3101210221102010112012221
41221111201201103300
53323114111001430
6123543111130424
711112552065560
oct1512541412360
9353842115187
10113104000240
1143a70294470
1219b06373a14
13a8865c593a
14568d53cda0
152e1e88157a
hex1a558614f0

113104000240 has 160 divisors (see below), whose sum is σ = 328565113344. Its totient is φ = 35176811520.

The previous prime is 113104000213. The next prime is 113104000333. The reversal of 113104000240 is 42000401311.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2857062 + ... + 2896378.

Almost surely, 2113104000240 is an apocalyptic number.

113104000240 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 113104000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164282556672).

113104000240 is an abundant number, since it is smaller than the sum of its proper divisors (215461113104).

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

113104000240 is a wasteful number, since it uses less digits than its factorization.

113104000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39815 (or 39809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113104000240 its reverse (42000401311), we get a palindrome (155104401551).

The spelling of 113104000240 in words is "one hundred thirteen billion, one hundred four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 467 560 616 770 880 934 1232 1540 1868 2335 3080 3269 3736 4670 5137 6160 6538 7472 9340 10274 13076 16345 18680 20548 25685 26152 32690 35959 37360 39317 41096 51370 52304 65380 71918 78634 82192 102740 130760 143836 157268 179795 196585 205480 261520 275219 287672 314536 359590 393170 410960 432487 550438 575344 629072 719180 786340 864974 1100876 1376095 1438360 1572680 1729948 2162435 2201752 2752190 2876720 3027409 3145360 3459896 4324870 4403504 5504380 6054818 6919792 8649740 11008760 12109636 15137045 17299480 18361039 22017520 24219272 30274090 34598960 36722078 48438544 60548180 73444156 91805195 121096360 128527273 146888312 183610390 201971429 242192720 257054546 293776624 367220780 403942858 514109092 642636365 734441560 807885716 1009857145 1028218184 1285272730 1413800003 1468883120 1615771432 2019714290 2056436368 2570545460 2827600006 3231542864 4039428580 5141090920 5655200012 7069000015 8078857160 10282181840 11310400024 14138000030 16157714320 22620800048 28276000060 56552000120 113104000240