Search a number
-
+
10022100010021 = 1162171093913397
BaseRepresentation
bin1001000111010111001110…
…1101100000010000100101
31022111002210101022002021001
42101311303231200100211
52303200230100310041
633152031132553301
72053033660336351
oct221656355402045
938432711262231
1010022100010021
1132143921a8710
12115a425022831
13579106925728
142691022a4461
15125a70229131
hex91d73b60425

10022100010021 has 16 divisors (see below), whose sum is σ = 10936774537920. Its totient is φ = 9108021847680.

The previous prime is 10022100010001. The next prime is 10022100010057. The reversal of 10022100010021 is 12001000122001.

It is a cyclic number.

It is not a de Polignac number, because 10022100010021 - 231 = 10019952526373 is a prime.

It is a super-2 number, since 2×100221000100212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100010001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748078695 + ... + 748092091.

It is an arithmetic number, because the mean of its divisors is an integer number (683548408620).

Almost surely, 210022100010021 is an apocalyptic number.

10022100010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022100010021 is a deficient number, since it is larger than the sum of its proper divisors (914674527899).

10022100010021 is a wasteful number, since it uses less digits than its factorization.

10022100010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30564.

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

Adding to 10022100010021 its reverse (12001000122001), we get a palindrome (22023100132022).

The spelling of 10022100010021 in words is "ten trillion, twenty-two billion, one hundred million, ten thousand, twenty-one".

Divisors: 1 11 6217 10939 13397 68387 120329 147367 68007763 83289149 146549783 748085393 916180639 1612047613 911100000911 10022100010021