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10112212202220 = 22335313971521599
BaseRepresentation
bin1001001100100110111011…
…0100001111001011101100
31022210201101110021202011000
42103021232310033023230
52311134302310432340
633301253002000300
72062404021335022
oct223115664171354
938721343252130
1010112212202220
113249624188427
1211739934a6090
13584767a69b0b
1426d610048712
15128096367d30
hex9326ed0f2ec

10112212202220 has 192 divisors, whose sum is σ = 32556883968000. Its totient is φ = 2603028130560.

The previous prime is 10112212202159. The next prime is 10112212202227. The reversal of 10112212202220 is 2220221221101.

It is a happy number.

10112212202220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 221 + 220 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10112212202193 and 10112212202202.

It is not an unprimeable number, because it can be changed into a prime (10112212202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5884981 + ... + 7406579.

It is an arithmetic number, because the mean of its divisors is an integer number (169567104000).

Almost surely, 210112212202220 is an apocalyptic number.

10112212202220 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 10112212202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278441984000).

10112212202220 is an abundant number, since it is smaller than the sum of its proper divisors (22444671765780).

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

10112212202220 is a wasteful number, since it uses less digits than its factorization.

10112212202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522045 (or 1522037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10112212202220 its reverse (2220221221101), we get a palindrome (12332433423321).

The spelling of 10112212202220 in words is "ten trillion, one hundred twelve billion, two hundred twelve million, two hundred two thousand, two hundred twenty".