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101250045 = 325131710181
BaseRepresentation
bin1100000100011…
…11001111111101
321001112000221200
412002033033331
5201410000140
614014050113
72336416431
oct602171775
9231460850
10101250045
1152175726
1229aa9939
1317c90790
14d6389c1
158d50030
hex608f3fd

101250045 has 48 divisors (see below), whose sum is σ = 200137392. Its totient is φ = 46909440.

The previous prime is 101250043. The next prime is 101250053. The reversal of 101250045 is 540052101.

It can be written as a sum of positive squares in 8 ways, for example, as 488601 + 100761444 = 699^2 + 10038^2 .

It is not a de Polignac number, because 101250045 - 21 = 101250043 is a prime.

It is a super-2 number, since 2×1012500452 = 20503143225004050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101250041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4855 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (4169529).

Almost surely, 2101250045 is an apocalyptic number.

101250045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101250045 is a deficient number, since it is larger than the sum of its proper divisors (98887347).

101250045 is a wasteful number, since it uses less digits than its factorization.

101250045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101250045 is about 10062.3081348168. The cubic root of 101250045 is about 466.0849449427.

It can be divided in two parts, 1012500 and 45, that multiplied together give a square (45562500 = 67502).

The spelling of 101250045 in words is "one hundred one million, two hundred fifty thousand, forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 10181 30543 50905 91629 132353 152715 173077 397059 458145 519231 661765 865385 1191177 1557693 1985295 2250001 2596155 5955885 6750003 7788465 11250005 20250009 33750015 101250045