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10001222220220 = 225711311491405997
BaseRepresentation
bin1001000110001001011101…
…0011000011100110111100
31022102002220101001110202221
42101202113103003212330
52302330000342021340
633134255325255124
72051364416136460
oct221422723034674
938362811043687
1010001222220220
113206549237180
1211563791044a4
1357715a42c85a
142680c15a44a0
1512524c3bc44a
hex918974c39bc

10001222220220 has 192 divisors, whose sum is σ = 27211122892800. Its totient is φ = 2996458675200.

The previous prime is 10001222220167. The next prime is 10001222220221. The reversal of 10001222220220 is 2202222210001.

It is a junction number, because it is equal to n+sod(n) for n = 10001222220194 and 10001222220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001222220221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6410262 + ... + 7816258.

It is an arithmetic number, because the mean of its divisors is an integer number (141724598400).

Almost surely, 210001222220220 is an apocalyptic number.

10001222220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001222220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605561446400).

10001222220220 is an abundant number, since it is smaller than the sum of its proper divisors (17209900672580).

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

10001222220220 is a wasteful number, since it uses less digits than its factorization.

10001222220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406204 (or 1406202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10001222220220 its reverse (2202222210001), we get a palindrome (12203444430221).

The spelling of 10001222220220 in words is "ten trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".