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10113180 = 22357112199
BaseRepresentation
bin100110100101…
…000010011100
3201000210200020
4212211002130
510042110210
61000432140
7151650330
oct46450234
921023606
1010113180
115788200
123478650
13213123c
1414b37c0
15d4b770
hex9a509c

10113180 has 144 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 2090880.

The previous prime is 10113179. The next prime is 10113193. The reversal of 10113180 is 8131101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50721 + ... + 50919.

Almost surely, 210113180 is an apocalyptic number.

10113180 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 10113180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

10113180 is an abundant number, since it is smaller than the sum of its proper divisors (25637220).

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

10113180 is a wasteful number, since it uses less digits than its factorization.

10113180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 10113180 is about 3180.1226391446. The cubic root of 10113180 is about 216.2532181240.

Adding to 10113180 its reverse (8131101), we get a palindrome (18244281).

The spelling of 10113180 in words is "ten million, one hundred thirteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 199 210 220 231 242 308 330 363 385 398 420 462 484 597 605 660 726 770 796 847 924 995 1155 1194 1210 1393 1452 1540 1694 1815 1990 2189 2310 2388 2420 2541 2786 2985 3388 3630 3980 4179 4235 4378 4620 5082 5572 5970 6567 6965 7260 8358 8470 8756 10164 10945 11940 12705 13134 13930 15323 16716 16940 20895 21890 24079 25410 26268 27860 30646 32835 41790 43780 45969 48158 50820 61292 65670 72237 76615 83580 91938 96316 120395 131340 144474 153230 168553 183876 229845 240790 288948 306460 337106 361185 459690 481580 505659 674212 722370 842765 919380 1011318 1444740 1685530 2022636 2528295 3371060 5056590 10113180