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100140345 = 325611912
BaseRepresentation
bin1011111100000…
…00010100111001
320222102122201200
411332000110321
5201113442340
613534204413
72324115234
oct576002471
9228378650
10100140345
1151587a18
1229653709
1317992656
14d42a41b
158bd1330
hex5f80539

100140345 has 36 divisors (see below), whose sum is σ = 177350628. Its totient is φ = 52257600.

The previous prime is 100140311. The next prime is 100140377. The reversal of 100140345 is 543041001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16088121 + 84052224 = 4011^2 + 9168^2 .

It is not a de Polignac number, because 100140345 - 210 = 100139321 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524200 + ... + 524390.

Almost surely, 2100140345 is an apocalyptic number.

100140345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100140345 is a deficient number, since it is larger than the sum of its proper divisors (77210283).

100140345 is an equidigital number, since it uses as much as digits as its factorization.

100140345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 260 counting only the distinct ones).

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

The square root of 100140345 is about 10007.0147896363. The cubic root of 100140345 is about 464.3759231197.

Adding to 100140345 its reverse (543041001), we get a palindrome (643181346).

The spelling of 100140345 in words is "one hundred million, one hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 61 183 191 305 549 573 915 955 1719 2745 2865 8595 11651 34953 36481 58255 104859 109443 174765 182405 328329 524295 547215 1641645 2225341 6676023 11126705 20028069 33380115 100140345