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109011630 = 23571373547
BaseRepresentation
bin1100111111101…
…10001010101110
321121010100211210
412133312022232
5210401333010
614452255250
72462404110
oct637661256
9247110753
10109011630
1156597062
1230611526
131977a530
14106993b0
159884b20
hex67f62ae

109011630 has 128 divisors (see below), whose sum is σ = 327011328. Its totient is φ = 22643712.

The previous prime is 109011587. The next prime is 109011631. The reversal of 109011630 is 36110901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 109011597 and 109011606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109011631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199017 + ... + 199563.

It is an arithmetic number, because the mean of its divisors is an integer number (2554776).

Almost surely, 2109011630 is an apocalyptic number.

109011630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109011630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163505664).

109011630 is an abundant number, since it is smaller than the sum of its proper divisors (217999698).

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

109011630 is a wasteful number, since it uses less digits than its factorization.

109011630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 109011630 is about 10440.8634700392. The cubic root of 109011630 is about 477.7026067462.

It can be divided in two parts, 1090 and 11630, that added together give a triangular number (12720 = T159).

The spelling of 109011630 in words is "one hundred nine million, eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 73 78 91 105 130 146 182 195 210 219 273 365 390 438 455 511 546 547 730 910 949 1022 1094 1095 1365 1533 1641 1898 2190 2555 2730 2735 2847 3066 3282 3829 4745 5110 5470 5694 6643 7111 7658 7665 8205 9490 11487 13286 14222 14235 15330 16410 19145 19929 21333 22974 28470 33215 35555 38290 39858 39931 42666 49777 57435 66430 71110 79862 99554 99645 106665 114870 119793 149331 199290 199655 213330 239586 248885 279517 298662 399310 497770 519103 559034 598965 746655 838551 1038206 1197930 1397585 1493310 1557309 1677102 2595515 2795170 3114618 3633721 4192755 5191030 7267442 7786545 8385510 10901163 15573090 18168605 21802326 36337210 54505815 109011630