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21210122010020 = 22510179931313657
BaseRepresentation
bin1001101001010010111011…
…10010011011110110100100
32210002200000212112000001012
410310221131302123312210
510240001312213310040
6113035443500321352
74316244411262136
oct464513562336644
983080025460035
1021210122010020
116838186a23069
1224667b6b43258
13bab14b937988
1453480abc9056
1526bacd4d0865
hex134a5dc9bda4

21210122010020 has 48 divisors (see below), whose sum is σ = 44987920710768. Its totient is φ = 8398991001600.

The previous prime is 21210122010019. The next prime is 21210122010029. The reversal of 21210122010020 is 2001022101212.

It can be written as a sum of positive squares in 8 ways, for example, as 635170744576 + 20574951265444 = 796976^2 + 4535962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21210122009977 and 21210122010004.

It is not an unprimeable number, because it can be changed into a prime (21210122010029) 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, 15489032 + ... + 16802688.

It is an arithmetic number, because the mean of its divisors is an integer number (937248348141).

Almost surely, 221210122010020 is an apocalyptic number.

21210122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210122010020 is an abundant number, since it is smaller than the sum of its proper divisors (23777798700748).

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

21210122010020 is a wasteful number, since it uses less digits than its factorization.

21210122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321760 (or 1321758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210122010020 its reverse (2001022101212), we get a palindrome (23211144111232).

The spelling of 21210122010020 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 7993 15986 31972 39965 79930 159860 807293 1313657 1614586 2627314 3229172 4036465 5254628 6568285 8072930 13136570 16145860 26273140 132679357 265358714 530717428 663396785 1326793570 2653587140 10500060401 21000120802 42000241604 52500302005 105000604010 210001208020 1060506100501 2121012201002 4242024402004 5302530502505 10605061005010 21210122010020