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10010220220 = 225711131074673
BaseRepresentation
bin10010101001010011…
…11101011010111100
3221211121222212122001
421110221331122330
5131000104021340
64333145432044
7503030316340
oct112451753274
927747885561
1010010220220
114277565680
121b3449b624
13c36b58340
146ad663620
153d8c2b29a
hex254a7d6bc

10010220220 has 192 divisors, whose sum is σ = 28494498816. Its totient is φ = 2852536320.

The previous prime is 10010220193. The next prime is 10010220221. The reversal of 10010220220 is 2202201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010220197 and 10010220206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010220221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2139804 + ... + 2144476.

It is an arithmetic number, because the mean of its divisors is an integer number (148408848).

Almost surely, 210010220220 is an apocalyptic number.

10010220220 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 10010220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247249408).

10010220220 is an abundant number, since it is smaller than the sum of its proper divisors (18484278596).

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

10010220220 is a wasteful number, since it uses less digits than its factorization.

10010220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10010220220 its reverse (2202201001), we get a palindrome (12212421221).

The spelling of 10010220220 in words is "ten billion, ten million, two hundred twenty thousand, two hundred twenty".