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113040020224 = 282341468253
BaseRepresentation
bin110100101000110110…
…1011101001100000000
3101210202221202000010201
41221101231131030000
53323001221121344
6123532503534544
711111144214115
oct1512155351400
9353687660121
10113040020224
1143a3816531a
1219aa8a5a454
13a876284241
145684c4690c
152e18e444d4
hex1a51b5d300

113040020224 has 72 divisors (see below), whose sum is σ = 241192016352. Its totient is φ = 52743905280.

The previous prime is 113040020161. The next prime is 113040020251. The reversal of 113040020224 is 422020040311.

It is a super-3 number, since 3×1130400202243 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7282 + ... + 475534.

It is an arithmetic number, because the mean of its divisors is an integer number (3349889116).

Almost surely, 2113040020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113040020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120596008176).

113040020224 is an abundant number, since it is smaller than the sum of its proper divisors (128151996128).

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

113040020224 is an equidigital number, since it uses as much as digits as its factorization.

113040020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468333 (or 468319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 113040020224 its reverse (422020040311), we get a palindrome (535060060535).

The spelling of 113040020224 in words is "one hundred thirteen billion, forty million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 328 368 656 736 943 1312 1472 1886 2624 2944 3772 5248 5888 7544 10496 15088 30176 60352 120704 241408 468253 936506 1873012 3746024 7492048 10769819 14984096 19198373 21539638 29968192 38396746 43079276 59936384 76793492 86158552 119872768 153586984 172317104 307173968 344634208 441562579 614347936 689268416 883125158 1228695872 1378536832 1766250316 2457391744 2757073664 3532500632 4914783488 7065001264 14130002528 28260005056 56520010112 113040020224