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101985220 = 22523221707
BaseRepresentation
bin1100001010000…
…10101111000100
321002220101102101
412011002233010
5202102011340
614041521444
72345601001
oct605025704
9232811371
10101985220
1152628007
122a1a3284
131818a2ac
14d78a8a8
158e47c9a
hex6142bc4

101985220 has 24 divisors (see below), whose sum is σ = 223481664. Its totient is φ = 39020256.

The previous prime is 101985211. The next prime is 101985223. The reversal of 101985220 is 22589101.

It is not an unprimeable number, because it can be changed into a prime (101985223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110394 + ... + 111313.

It is an arithmetic number, because the mean of its divisors is an integer number (9311736).

Almost surely, 2101985220 is an apocalyptic number.

101985220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101985220 is an abundant number, since it is smaller than the sum of its proper divisors (121496444).

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

101985220 is a wasteful number, since it uses less digits than its factorization.

101985220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221739 (or 221737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 101985220 is about 10098.7731928190. The cubic root of 101985220 is about 467.2103040923.

The spelling of 101985220 in words is "one hundred one million, nine hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 221707 443414 886828 1108535 2217070 4434140 5099261 10198522 20397044 25496305 50992610 101985220