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10220202120020 = 225511010106001
BaseRepresentation
bin1001010010111001001110…
…0001000101001101010100
31100012001010110100222010012
42110232103201011031110
52314421433220320040
633423032424415352
72103246064442354
oct224562341051524
940161113328105
1010220202120020
1132903aa724a82
1211908b1017558
135919b799c569
142749362aab64
1512acb6c5a865
hex94b93845354

10220202120020 has 12 divisors (see below), whose sum is σ = 21462424452084. Its totient is φ = 4088080848000.

The previous prime is 10220202119987. The next prime is 10220202120097. The reversal of 10220202120020 is 2002120202201.

It can be written as a sum of positive squares in 2 ways, for example, as 1118082071236 + 9102120048784 = 1057394^2 + 3016972^2 .

It is a super-2 number, since 2×102202021200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220202119977 and 10220202120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255505052981 + ... + 255505053020.

It is an arithmetic number, because the mean of its divisors is an integer number (1788535371007).

Almost surely, 210220202120020 is an apocalyptic number.

10220202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220202120020 is an abundant number, since it is smaller than the sum of its proper divisors (11242222332064).

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

10220202120020 is a wasteful number, since it uses less digits than its factorization.

10220202120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511010106010 (or 511010106008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220202120020 its reverse (2002120202201), we get a palindrome (12222322322221).

The spelling of 10220202120020 in words is "ten trillion, two hundred twenty billion, two hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 511010106001 1022020212002 2044040424004 2555050530005 5110101060010 10220202120020