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10222022100020 = 225663737700437
BaseRepresentation
bin1001010010111111111111…
…1111110000010000110100
31100012012211021222112022212
42110233333333300100310
52314434200124200040
633423533201112552
72103342144143453
oct224577777602064
940165737875285
1010222022100020
113291153a95985
12119111a628758
13591c17a668c3
14274a69ca4b9a
1512ad7190dd65
hex94bffff0434

10222022100020 has 24 divisors (see below), whose sum is σ = 21466572616104. Its totient is φ = 4088746705536.

The previous prime is 10222022099987. The next prime is 10222022100047. The reversal of 10222022100020 is 2000122022201.

It can be written as a sum of positive squares in 4 ways, for example, as 5760278403364 + 4461743696656 = 2400058^2 + 2112284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10222022099968 and 10222022100004.

It is a congruent number.

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, 2522759 + ... + 5177678.

It is an arithmetic number, because the mean of its divisors is an integer number (894440525671).

Almost surely, 210222022100020 is an apocalyptic number.

10222022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022100020 is an abundant number, since it is smaller than the sum of its proper divisors (11244550516084).

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

10222022100020 is a wasteful number, since it uses less digits than its factorization.

10222022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766819 (or 7766817 counting only the distinct ones).

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

Adding to 10222022100020 its reverse (2000122022201), we get a palindrome (12222144122221).

The spelling of 10222022100020 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 66373 132746 265492 331865 663730 1327460 7700437 15400874 30801748 38502185 77004370 154008740 511101105001 1022202210002 2044404420004 2555505525005 5111011050010 10222022100020