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10220111220 = 2235111011391103
BaseRepresentation
bin10011000010010101…
…01000010101110100
3222101020221102221210
421201022220111310
5131412322024340
64410044241420
7511156340424
oct114112502564
928336842853
1010220111220
114374a93910
121b92840270
13c6b4966b7
146cd49c484
153ec38b180
hex2612a8574

10220111220 has 192 divisors, whose sum is σ = 31782481920. Its totient is φ = 2433216000.

The previous prime is 10220111201. The next prime is 10220111233. The reversal of 10220111220 is 2211102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10220111196 and 10220111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9265189 + ... + 9266291.

It is an arithmetic number, because the mean of its divisors is an integer number (165533760).

Almost surely, 210220111220 is an apocalyptic number.

10220111220 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 10220111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891240960).

10220111220 is an abundant number, since it is smaller than the sum of its proper divisors (21562370700).

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

10220111220 is a wasteful number, since it uses less digits than its factorization.

10220111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220111220 its reverse (2211102201), we get a palindrome (12431213421).

The spelling of 10220111220 in words is "ten billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".