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10111004204 = 2271946141227
BaseRepresentation
bin10010110101010100…
…11010111000101100
3222002122122020021012
421122222122320230
5131201404113304
64351145524352
7505363055240
oct113252327054
928078566235
1010111004204
114319442124
121b621a36b8
13c519b4932
146bcbba420
153e29d816e
hex25aa9ae2c

10111004204 has 48 divisors (see below), whose sum is σ = 21333016320. Its totient is φ = 4096215360.

The previous prime is 10111004153. The next prime is 10111004209. The reversal of 10111004204 is 40240011101.

10111004204 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 (14).

It is not an unprimeable number, because it can be changed into a prime (10111004209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224639 + ... + 265865.

It is an arithmetic number, because the mean of its divisors is an integer number (444437840).

Almost surely, 210111004204 is an apocalyptic number.

10111004204 is a gapful number since it is divisible by the number (14) 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 10111004204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666508160).

10111004204 is an abundant number, since it is smaller than the sum of its proper divisors (11222012116).

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

10111004204 is a wasteful number, since it uses less digits than its factorization.

10111004204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41718 (or 41716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10111004204 its reverse (40240011101), we get a palindrome (50351015305).

The spelling of 10111004204 in words is "ten billion, one hundred eleven million, four thousand, two hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 461 532 922 1844 3227 6454 8759 12908 17518 35036 41227 61313 82454 122626 164908 245252 288589 577178 783313 1154356 1566626 3133252 5483191 10966382 19005647 21932764 38011294 76022588 133039529 266079058 361107293 532158116 722214586 1444429172 2527751051 5055502102 10111004204