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10000221220220 = 22571147145195219
BaseRepresentation
bin1001000110000101101110…
…1000100010110101111100
31022102000022121111101220212
42101201123220202311330
52302320423113021340
633134012130331552
72051330542602230
oct221413350426574
938360277441825
1010000221220220
1132060851a0050
121156139a29bb8
1357702ac3246a
142680286765c0
151251de58ea65
hex9185ba22d7c

10000221220220 has 192 divisors, whose sum is σ = 26758178979840. Its totient is φ = 3048499488000.

The previous prime is 10000221220211. The next prime is 10000221220229. The reversal of 10000221220220 is 2202212200001.

It is an interprime number because it is at equal distance from previous prime (10000221220211) and next prime (10000221220229).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10000221220195 and 10000221220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000221220229) 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, 104975771 + ... + 105070989.

It is an arithmetic number, because the mean of its divisors is an integer number (139365515520).

Almost surely, 210000221220220 is an apocalyptic number.

10000221220220 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 10000221220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379089489920).

10000221220220 is an abundant number, since it is smaller than the sum of its proper divisors (16757957759620).

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

10000221220220 is a wasteful number, since it uses less digits than its factorization.

10000221220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96744 (or 96742 counting only the distinct ones).

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

Adding to 10000221220220 its reverse (2202212200001), we get a palindrome (12202433420221).

The spelling of 10000221220220 in words is "ten trillion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty".