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10021012221 = 311833658639
BaseRepresentation
bin10010101010100110…
…01000001011111101
3221212101022011110210
421111103020023331
5131010334342341
64334213023033
7503221125033
oct112523101375
927771264423
1010021012221
114282666890
121b38024a79
13c3916653c
146b0c72553
153d9b5dc16
hex2554c82fd

10021012221 has 16 divisors (see below), whose sum is σ = 14751636480. Its totient is φ = 6000166320.

The previous prime is 10021012217. The next prime is 10021012237. The reversal of 10021012221 is 12221012001.

10021012221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021012221 - 22 = 10021012217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021012197 and 10021012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012201) 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, 1826581 + ... + 1832058.

It is an arithmetic number, because the mean of its divisors is an integer number (921977280).

Almost surely, 210021012221 is an apocalyptic number.

10021012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021012221 is a deficient number, since it is larger than the sum of its proper divisors (4730624259).

10021012221 is a wasteful number, since it uses less digits than its factorization.

10021012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658736.

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

Adding to 10021012221 its reverse (12221012001), we get a palindrome (22242024222).

The spelling of 10021012221 in words is "ten billion, twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 83 249 913 2739 3658639 10975917 40245029 120735087 303667037 911001111 3340337407 10021012221