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10221102012 = 22311139557069
BaseRepresentation
bin10011000010011100…
…11010001110111100
3222101022210210001210
421201032122032330
5131413100231022
64410121404420
7511200635142
oct114116321674
928338723053
1010221102012
114375600250
121b93039710
13c6b752674
146cd679592
153ec4d4a0c
hex26139a3bc

10221102012 has 48 divisors (see below), whose sum is σ = 26204572800. Its totient is φ = 3075015360.

The previous prime is 10221102007. The next prime is 10221102013. The reversal of 10221102012 is 21020112201.

10221102012 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221102013) 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, 260187 + ... + 296882.

It is an arithmetic number, because the mean of its divisors is an integer number (545928600).

Almost surely, 210221102012 is an apocalyptic number.

10221102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221102012 is an abundant number, since it is smaller than the sum of its proper divisors (15983470788).

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

10221102012 is a wasteful number, since it uses less digits than its factorization.

10221102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557226 (or 557224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221102012 its reverse (21020112201), we get a palindrome (31241214213).

The spelling of 10221102012 in words is "ten billion, two hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6116 9174 18348 557069 1114138 1671207 2228276 3342414 6127759 6684828 12255518 18383277 24511036 36766554 73533108 77432591 154865182 232297773 309730364 464595546 851758501 929191092 1703517002 2555275503 3407034004 5110551006 10221102012