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210101111220 = 22357211213181251
BaseRepresentation
bin1100001110101100000…
…0001000100110110100
3202002022022022022010210
43003223000020212310
511420241341024340
6240304043545420
721115333656600
oct3035300104664
9662268268123
10210101111220
1181115666600
123487652b270
1316a73c4bb70
14a251844500
1556ea156180
hex30eb0089b4

210101111220 has 864 divisors, whose sum is σ = 817778602368. Its totient is φ = 39916800000.

The previous prime is 210101111219. The next prime is 210101111221. The reversal of 210101111220 is 22111101012.

It is an interprime number because it is at equal distance from previous prime (210101111219) and next prime (210101111221).

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 = 210101111196 and 210101111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101111221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 837056095 + ... + 837056345.

It is an arithmetic number, because the mean of its divisors is an integer number (946503012).

Almost surely, 2210101111220 is an apocalyptic number.

210101111220 is a gapful number since it is divisible by the number (20) 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 210101111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408889301184).

210101111220 is an abundant number, since it is smaller than the sum of its proper divisors (607677491148).

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

210101111220 is a wasteful number, since it uses less digits than its factorization.

210101111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210101111220 its reverse (22111101012), we get a palindrome (232212212232).

The spelling of 210101111220 in words is "two hundred ten billion, one hundred one million, one hundred eleven thousand, two hundred twenty".