Search a number
-
+
10033014200 = 2352119294909
BaseRepresentation
bin10010101100000001…
…11010010110111000
3221220012212221002112
421112000322112320
5131021422423300
64335322151452
7503425133156
oct112600722670
927805787075
1010033014200
114289414080
121b40052588
13c3b7a93c1
146b26b83d6
153dac2ee35
hex25603a5b8

10033014200 has 96 divisors (see below), whose sum is σ = 25479954000. Its totient is φ = 3643699200.

The previous prime is 10033014197. The next prime is 10033014217. The reversal of 10033014200 is 241033001.

It is a super-2 number, since 2×100330142002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041346 + ... + 2046254.

Almost surely, 210033014200 is an apocalyptic number.

10033014200 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 10033014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739977000).

10033014200 is an abundant number, since it is smaller than the sum of its proper divisors (15446939800).

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

10033014200 is a wasteful number, since it uses less digits than its factorization.

10033014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10033014200 its reverse (241033001), we get a palindrome (10274047201).

The spelling of 10033014200 in words is "ten billion, thirty-three million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 929 1100 1858 2200 3716 4645 4909 7432 9290 9818 10219 18580 19636 20438 23225 24545 37160 39272 40876 46450 49090 51095 53999 81752 92900 98180 102190 107998 122725 185800 196360 204380 215996 245450 255475 269995 408760 431992 490900 510950 539990 981800 1021900 1079980 1349975 2043800 2159960 2699950 4560461 5399900 9120922 10799800 18241844 22802305 36483688 45604610 50165071 91209220 100330142 114011525 182418440 200660284 228023050 250825355 401320568 456046100 501650710 912092200 1003301420 1254126775 2006602840 2508253550 5016507100 10033014200