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101220345 = 3253760793
BaseRepresentation
bin1100000100001…
…11111111111001
321001110112012200
412002013333321
5201403022340
614013300413
72336234022
oct602077771
9231415180
10101220345
1152155386
1229a94709
1317c800c5
14d62bc49
158d46330
hex6087ff9

101220345 has 24 divisors (see below), whose sum is σ = 180193416. Its totient is φ = 52524288.

The previous prime is 101220337. The next prime is 101220347. The reversal of 101220345 is 543022101.

101220345 is a `hidden beast` number, since 101 + 220 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38303721 + 62916624 = 6189^2 + 7932^2 .

It is not a de Polignac number, because 101220345 - 23 = 101220337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101220347) 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, 28732 + ... + 32061.

It is an arithmetic number, because the mean of its divisors is an integer number (7508059).

Almost surely, 2101220345 is an apocalyptic number.

101220345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101220345 is a deficient number, since it is larger than the sum of its proper divisors (78973071).

101220345 is a wasteful number, since it uses less digits than its factorization.

101220345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60841 (or 60838 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101220345 is about 10060.8322220381. The cubic root of 101220345 is about 466.0393677560.

Adding to 101220345 its reverse (543022101), we get a palindrome (644242446).

The spelling of 101220345 in words is "one hundred one million, two hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 60793 182379 303965 547137 911895 2249341 2735685 6748023 11246705 20244069 33740115 101220345