Search a number
-
+
10220011021 = 1124710916487
BaseRepresentation
bin10011000010010100…
…01111111000001101
3222101020202100111201
421201022033320031
5131412310323041
64410042145501
7511155442333
oct114112177015
928336670451
1010220011021
114374a25600
121b927b2291
13c6b45cbcc
146cd473b53
153ec36b631
hex26128fe0d

10220011021 has 24 divisors (see below), whose sum is σ = 11578533120. Its totient is φ = 9009269280.

The previous prime is 10220011019. The next prime is 10220011027. The reversal of 10220011021 is 12011002201.

10220011021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220011021 - 21 = 10220011019 is a prime.

It is a super-2 number, since 2×102200110212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220010989 and 10220011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611640 + ... + 628126.

It is an arithmetic number, because the mean of its divisors is an integer number (482438880).

Almost surely, 210220011021 is an apocalyptic number.

10220011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220011021 is a deficient number, since it is larger than the sum of its proper divisors (1358522099).

10220011021 is a wasteful number, since it uses less digits than its factorization.

10220011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220011021 its reverse (12011002201), we get a palindrome (22231013222).

The spelling of 10220011021 in words is "ten billion, two hundred twenty million, eleven thousand, twenty-one".

Divisors: 1 11 47 109 121 517 1199 5123 5687 13189 16487 56353 181357 619883 774889 1797083 1994927 8523779 19767913 84462901 93761569 217447043 929091911 10220011021