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101000220 = 22354141057
BaseRepresentation
bin1100000010100…
…10010000011100
321001001100020220
412001102100130
5201324001340
614004441340
72334326166
oct601222034
9231040226
10101000220
1152014a62
12299a9250
1317c03b59
14d5b1936
158d00ed0
hex605241c

101000220 has 48 divisors (see below), whose sum is σ = 289705248. Its totient is φ = 26275840.

The previous prime is 101000203. The next prime is 101000231. The reversal of 101000220 is 22000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101000199 and 101000208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18069 + ... + 22988.

It is an arithmetic number, because the mean of its divisors is an integer number (6035526).

Almost surely, 2101000220 is an apocalyptic number.

101000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000220 is an abundant number, since it is smaller than the sum of its proper divisors (188705028).

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

101000220 is a wasteful number, since it uses less digits than its factorization.

101000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41110 (or 41108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101000220 is about 10049.8865665240. The cubic root of 101000220 is about 465.7012889128.

Adding to 101000220 its reverse (22000101), we get a palindrome (123000321).

The spelling of 101000220 in words is "one hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 41057 82114 123171 164228 205285 246342 410570 492684 615855 821140 1231710 1683337 2463420 3366674 5050011 6733348 8416685 10100022 16833370 20200044 25250055 33666740 50500110 101000220