Base | Representation |
---|---|
bin | 1010000000100100110100… |
… | …10010101010110101100100 |
3 | 2212221010122210222022020100 |
4 | 11000102122102222311210 |
5 | 10341102440224310040 |
6 | 114451131015304100 |
7 | 4431112225506402 |
oct | 500223222526544 |
9 | 85833583868210 |
10 | 22010001010020 |
11 | 7016430852761 |
12 | 257582897b030 |
13 | c386c37ca1ca |
14 | 56140b054472 |
15 | 2827e5d70b30 |
hex | 14049a4aad64 |
22010001010020 has 36 divisors (see below), whose sum is σ = 66763669730940. Its totient is φ = 5869333602624.
The previous prime is 22010001010003. The next prime is 22010001010021. The reversal of 22010001010020 is 2001010001022.
It can be written as a sum of positive squares in 2 ways, for example, as 6243081915456 + 15766919094564 = 2498616^2 + 3970758^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×220100010100202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 22010001009984 and 22010001010011.
It is not an unprimeable number, because it can be changed into a prime (22010001010021) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61138891515 + ... + 61138891874.
It is an arithmetic number, because the mean of its divisors is an integer number (1854546381415).
Almost surely, 222010001010020 is an apocalyptic number.
22010001010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22010001010020 is an abundant number, since it is smaller than the sum of its proper divisors (44753668720920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22010001010020 is a wasteful number, since it uses less digits than its factorization.
22010001010020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122277783404 (or 122277783399 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 22010001010020 its reverse (2001010001022), we get a palindrome (24011011011042).
The spelling of 22010001010020 in words is "twenty-two trillion, ten billion, one million, ten thousand, twenty".
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