Search a number
-
+
22101022002001 = 23237230517801
BaseRepresentation
bin1010000011001110010111…
…00100001100101101010001
32220020211121020000210001111
411001213023210030231101
510344100343113031001
6115001022551133321
74440513633254065
oct501471344145521
986224536023044
1022101022002001
117050a99825178
12258b3ab674241
13c4416acc9447
145659a37a5aa5
15284d71b78851
hex1419cb90cb51

22101022002001 has 18 divisors (see below), whose sum is σ = 23745016719942. Its totient is φ = 20568753057600.

The previous prime is 22101022001963. The next prime is 22101022002041. The reversal of 22101022002001 is 10020022010122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11401940808976 + 10699081193025 = 3376676^2 + 3270945^2 .

It is not a de Polignac number, because 22101022002001 - 225 = 22100988447569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101022002041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14534700 + ... + 15983101.

Almost surely, 222101022002001 is an apocalyptic number.

It is an amenable number.

22101022002001 is a deficient number, since it is larger than the sum of its proper divisors (1643994717941).

22101022002001 is an equidigital number, since it uses as much as digits as its factorization.

22101022002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30517921 (or 30517861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101022002001 its reverse (10020022010122), we get a palindrome (32121044012123).

The spelling of 22101022002001 in words is "twenty-two trillion, one hundred one billion, twenty-two million, two thousand, one".

Divisors: 1 23 37 529 851 1369 19573 31487 724201 30517801 701909423 1129158637 16143916729 25970648651 41778869569 597324918973 960914000087 22101022002001