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10112211421 = 134334494001
BaseRepresentation
bin10010110101011110…
…00001100111011101
3222002201220120020221
421122233001213131
5131202211231141
64351231441341
7505406243644
oct113257014735
928081816227
1010112211421
11431a097124
121b62686251
13c52018270
146bd01235b
153e2b75bd1
hex25abc19dd

10112211421 has 16 divisors (see below), whose sum is σ = 10942268400. Its totient is φ = 9289728000.

The previous prime is 10112211359. The next prime is 10112211427. The reversal of 10112211421 is 12411221101.

It can be written as a sum of positive squares in 8 ways, for example, as 3734432100 + 6377779321 = 61110^2 + 79861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10112211421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112211395 and 10112211404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2525421 + ... + 2529421.

It is an arithmetic number, because the mean of its divisors is an integer number (683891775).

Almost surely, 210112211421 is an apocalyptic number.

It is an amenable number.

10112211421 is a deficient number, since it is larger than the sum of its proper divisors (830056979).

10112211421 is a wasteful number, since it uses less digits than its factorization.

10112211421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10112211421 its reverse (12411221101), we get a palindrome (22523432522).

The spelling of 10112211421 in words is "ten billion, one hundred twelve million, two hundred eleven thousand, four hundred twenty-one".

Divisors: 1 13 433 449 4001 5629 5837 52013 194417 1732433 1796449 2527421 22521629 23353837 777862417 10112211421