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21021122210020 = 2256117230428041
BaseRepresentation
bin1001100011110010111001…
…00001011010100011100100
32202102121012011001101010121
410301321130201122203210
510223402224241210040
6112412545322531324
74266504001423102
oct461713441324344
982377164041117
1021021122210020
11677500a516a49
12243604b366b44
13b9638b5b31aa
145295dba2ac72
15266c1ab39c4a
hex131e5c85a8e4

21021122210020 has 24 divisors (see below), whose sum is σ = 44868034621368. Its totient is φ = 8270605459200.

The previous prime is 21021122209993. The next prime is 21021122210041. The reversal of 21021122210020 is 2001222112012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2450176612416 + 18570945597604 = 1565304^2 + 4309402^2 .

It is a super-2 number, since 2×210211222100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21021122209976 and 21021122210003.

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, 8615212801 + ... + 8615215240.

It is an arithmetic number, because the mean of its divisors is an integer number (1869501442557).

Almost surely, 221021122210020 is an apocalyptic number.

21021122210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021122210020 is an abundant number, since it is smaller than the sum of its proper divisors (23846912411348).

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

21021122210020 is a wasteful number, since it uses less digits than its factorization.

21021122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230428111 (or 17230428109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021122210020 its reverse (2001222112012), we get a palindrome (23022344322032).

The spelling of 21021122210020 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17230428041 34460856082 68921712164 86152140205 172304280410 344608560820 1051056110501 2102112221002 4204224442004 5255280552505 10510561105010 21021122210020