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21022022102020 = 2256670115758401
BaseRepresentation
bin1001100011110100100100…
…01010001110110000000100
32202102200111212100121212221
410301322102022032300010
510223411100124231040
6112413214510422124
74266535206401662
oct461722212166004
982380455317787
1021022022102020
116775431485145
122436260801944
13b964a2b6c674
14529685359c32
15266c6eb4474a
hex131e9228ec04

21022022102020 has 24 divisors (see below), whose sum is σ = 44146911068568. Its totient is φ = 8408682240000.

The previous prime is 21022022101973. The next prime is 21022022102111. The reversal of 21022022102020 is 2020122022012.

It can be written as a sum of positive squares in 4 ways, for example, as 74502794304 + 20947519307716 = 272952^2 + 4576846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21022022101985 and 21022022102003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6545181 + ... + 9213220.

It is an arithmetic number, because the mean of its divisors is an integer number (1839454627857).

Almost surely, 221022022102020 is an apocalyptic number.

21022022102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022022102020 is an abundant number, since it is smaller than the sum of its proper divisors (23124888966548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21022022102020 is a wasteful number, since it uses less digits than its factorization.

21022022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825111 (or 15825109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21022022102020 its reverse (2020122022012), we get a palindrome (23042144124032).

The spelling of 21022022102020 in words is "twenty-one trillion, twenty-two billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 66701 133402 266804 333505 667010 1334020 15758401 31516802 63033604 78792005 157584010 315168020 1051101105101 2102202210202 4204404420404 5255505525505 10511011051010 21022022102020