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10220210010020 = 2253957491291249
BaseRepresentation
bin1001010010111001001111…
…1111001011011110100100
31100012001011000012211011102
42110232103333023132210
52314421442230310040
633423033305455232
72103246221503313
oct224562377133644
940161130184142
1010220210010020
11329040412393a
1211908b37a1518
135919b95028ba
1427493736227a
1512acb77b8515
hex94b93fcb7a4

10220210010020 has 24 divisors (see below), whose sum is σ = 21462511875000. Its totient is φ = 4088070508032.

The previous prime is 10220210010007. The next prime is 10220210010029. The reversal of 10220210010020 is 2001001202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2073527296 + 10218136482724 = 45536^2 + 3196582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220210009983 and 10220210010010.

It is not an unprimeable number, because it can be changed into a prime (10220210010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7269356 + ... + 8560604.

It is an arithmetic number, because the mean of its divisors is an integer number (894271328125).

Almost surely, 210220210010020 is an apocalyptic number.

10220210010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220210010020 is an abundant number, since it is smaller than the sum of its proper divisors (11242301864980).

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

10220210010020 is a wasteful number, since it uses less digits than its factorization.

10220210010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687007 (or 1687005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220210010020 its reverse (2001001202201), we get a palindrome (12221211212221).

The spelling of 10220210010020 in words is "ten trillion, two hundred twenty billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 395749 791498 1291249 1582996 1978745 2582498 3957490 5164996 6456245 7914980 12912490 25824980 511010500501 1022021001002 2044042002004 2555052502505 5110105005010 10220210010020