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101210220 = 223252272477
BaseRepresentation
bin1100000100001…
…01100001101100
321001110000022200
412002011201230
5201402211340
614013141500
72336162346
oct602054154
9231400280
10101210220
1152148811
1229a8a890
1317c78607
14d628296
158d43330
hex608586c

101210220 has 72 divisors (see below), whose sum is σ = 308481264. Its totient is φ = 26859648.

The previous prime is 101210191. The next prime is 101210227. The reversal of 101210220 is 22012101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101210227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39622 + ... + 42098.

It is an arithmetic number, because the mean of its divisors is an integer number (4284462).

Almost surely, 2101210220 is an apocalyptic number.

101210220 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 101210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154240632).

101210220 is an abundant number, since it is smaller than the sum of its proper divisors (207271044).

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

101210220 is a wasteful number, since it uses less digits than its factorization.

101210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101210220 is about 10060.3290204645. The cubic root of 101210220 is about 466.0238280410.

Adding to 101210220 its reverse (22012101), we get a palindrome (123222321).

The spelling of 101210220 in words is "one hundred one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2477 2724 3405 4086 4540 4954 6810 7431 8172 9908 10215 12385 13620 14862 20430 22293 24770 29724 37155 40860 44586 49540 74310 89172 111465 148620 222930 445860 562279 1124558 1686837 2249116 2811395 3373674 5060511 5622790 6747348 8434185 10121022 11245580 16868370 20242044 25302555 33736740 50605110 101210220