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10113200 = 2452131193
BaseRepresentation
bin100110100101…
…000010110000
3201000210200222
4212211002300
510042110300
61000432212
7151650356
oct46450260
921023628
1010113200
115788219
123478668
132131256
1414b37d6
15d4b785
hex9a50b0

10113200 has 60 divisors (see below), whose sum is σ = 24609288. Its totient is φ = 3993600.

The previous prime is 10113197. The next prime is 10113209. The reversal of 10113200 is 231101.

It is a super-3 number, since 3×101132003 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10113209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52304 + ... + 52496.

Almost surely, 210113200 is an apocalyptic number.

10113200 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 10113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304644).

10113200 is an abundant number, since it is smaller than the sum of its proper divisors (14496088).

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

10113200 is a wasteful number, since it uses less digits than its factorization.

10113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10113200 is about 3180.1257836759. The cubic root of 10113200 is about 216.2533606793.

Adding to 10113200 its reverse (231101), we get a palindrome (10344301).

The spelling of 10113200 in words is "ten million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 193 200 262 386 400 524 655 772 965 1048 1310 1544 1930 2096 2620 3088 3275 3860 4825 5240 6550 7720 9650 10480 13100 15440 19300 25283 26200 38600 50566 52400 77200 101132 126415 202264 252830 404528 505660 632075 1011320 1264150 2022640 2528300 5056600 10113200