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10111220200 = 2352229277797
BaseRepresentation
bin10010110101010110…
…01111100111101000
3222002200001012120001
421122223033213220
5131201433021300
64351154312344
7505364645044
oct113253174750
928080035501
1010111220200
11431957a434
121b622886b4
13c51a5c043
146bcc35024
153e2a2c16a
hex25aacf9e8

10111220200 has 96 divisors (see below), whose sum is σ = 23726215800. Its totient is φ = 4007255040.

The previous prime is 10111220143. The next prime is 10111220219. The reversal of 10111220200 is 202211101.

It can be written as a sum of positive squares in 12 ways, for example, as 1029511396 + 9081708804 = 32086^2 + 95298^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12686202 + ... + 12686998.

Almost surely, 210111220200 is an apocalyptic number.

10111220200 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 10111220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863107900).

10111220200 is an abundant number, since it is smaller than the sum of its proper divisors (13614995600).

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

10111220200 is a wasteful number, since it uses less digits than its factorization.

10111220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10111220200 its reverse (202211101), we get a palindrome (10313431301).

Subtracting from 10111220200 its reverse (202211101), we obtain a palindrome (9909009099).

The spelling of 10111220200 in words is "ten billion, one hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 277 458 554 797 916 1108 1145 1385 1594 1832 2216 2290 2770 3188 3985 4580 5540 5725 6376 6925 7970 9160 11080 11450 13850 15940 19925 22900 27700 31880 39850 45800 55400 63433 79700 126866 159400 182513 220769 253732 317165 365026 441538 507464 634330 730052 883076 912565 1103845 1268660 1460104 1585825 1766152 1825130 2207690 2537320 3171650 3650260 4415380 4562825 5519225 6343300 7300520 8830760 9125650 11038450 12686600 18251300 22076900 36502600 44153800 50556101 101112202 202224404 252780505 404448808 505561010 1011122020 1263902525 2022244040 2527805050 5055610100 10111220200