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10221213005 = 514929694621
BaseRepresentation
bin10011000010011101…
…10101010101001101
3222101100000102022122
421201032311111031
5131413112304010
64410124022325
7511201606553
oct114116652515
928340012278
1010221213005
114375676683
121b930919a5
13c6b791043
146cd6a7bd3
153ec507855
hex2613b554d

10221213005 has 16 divisors (see below), whose sum is σ = 12354606000. Its totient is φ = 8117598720.

The previous prime is 10221212993. The next prime is 10221213007. The reversal of 10221213005 is 50031212201.

It is a happy number.

10221213005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4313599684 + 5907613321 = 65678^2 + 76861^2 .

It is not a de Polignac number, because 10221213005 - 26 = 10221212941 is a prime.

It is a super-2 number, since 2×102212130052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221213007) 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, 2209595 + ... + 2214215.

It is an arithmetic number, because the mean of its divisors is an integer number (772162875).

Almost surely, 210221213005 is an apocalyptic number.

It is an amenable number.

10221213005 is a deficient number, since it is larger than the sum of its proper divisors (2133392995).

10221213005 is a wasteful number, since it uses less digits than its factorization.

10221213005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10221213005 its reverse (50031212201), we get a palindrome (60252425206).

The spelling of 10221213005 in words is "ten billion, two hundred twenty-one million, two hundred thirteen thousand, five".

Divisors: 1 5 149 745 2969 4621 14845 23105 442381 688529 2211905 3442645 13719749 68598745 2044242601 10221213005