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10111130200 = 23521011313821
BaseRepresentation
bin10010110101010101…
…11001101001011000
3222002122212122002201
421122222321221120
5131201422131300
64351152335544
7505364121463
oct113252715130
928078778081
1010111130200
114319518856
121b622445b4
13c51a2a0a2
146bcc102da
153e2a1066a
hex25aab9a58

10111130200 has 96 divisors (see below), whose sum is σ = 23928624720. Its totient is φ = 3972800000.

The previous prime is 10111130191. The next prime is 10111130243. The reversal of 10111130200 is 203111101.

10111130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644290 + ... + 2648110.

Almost surely, 210111130200 is an apocalyptic number.

10111130200 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 10111130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964312360).

10111130200 is an abundant number, since it is smaller than the sum of its proper divisors (13817494520).

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

10111130200 is a wasteful number, since it uses less digits than its factorization.

10111130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10111130200 its reverse (203111101), we get a palindrome (10314241301).

The spelling of 10111130200 in words is "ten billion, one hundred eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 131 200 202 262 404 505 524 655 808 1010 1048 1310 2020 2525 2620 3275 3821 4040 5050 5240 6550 7642 10100 13100 13231 15284 19105 20200 26200 26462 30568 38210 52924 66155 76420 95525 105848 132310 152840 191050 264620 330775 382100 385921 500551 529240 661550 764200 771842 1001102 1323100 1543684 1929605 2002204 2502755 2646200 3087368 3859210 4004408 5005510 7718420 9648025 10011020 12513775 15436840 19296050 20022040 25027550 38592100 50055100 50555651 77184200 100110200 101111302 202222604 252778255 404445208 505556510 1011113020 1263891275 2022226040 2527782550 5055565100 10111130200