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109282329630 = 23351960920641
BaseRepresentation
bin110010111000110111…
…1000000010000011110
3101110002001222112201000
41211301233000100132
53242302234022010
6122111551331130
710616055322005
oct1456157002036
9343061875630
10109282329630
114238a031801
121921a520aa6
13a3c7911896
145409b69c3c
152c990d47c0
hex1971bc041e

109282329630 has 64 divisors (see below), whose sum is σ = 291448526400. Its totient is φ = 29139056640.

The previous prime is 109282329617. The next prime is 109282329631. The reversal of 109282329630 is 36923282901.

It is a happy number.

109282329630 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 2 + 3 + 2 + 9 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109282329631) 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 31 ways as a sum of consecutive naturals, for example, 5284110 + ... + 5304750.

It is an arithmetic number, because the mean of its divisors is an integer number (4553883225).

Almost surely, 2109282329630 is an apocalyptic number.

109282329630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109282329630 is an abundant number, since it is smaller than the sum of its proper divisors (182166196770).

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

109282329630 is a wasteful number, since it uses less digits than its factorization.

109282329630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40266 (or 40260 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 109282329630 in words is "one hundred nine billion, two hundred eighty-two million, three hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 19609 20641 39218 41282 58827 61923 98045 103205 117654 123846 176481 185769 196090 206410 294135 309615 352962 371538 529443 557307 588270 619230 882405 928845 1058886 1114614 1764810 1857690 2647215 2786535 5294430 5573070 404749369 809498738 1214248107 2023746845 2428496214 3642744321 4047493690 6071240535 7285488642 10928232963 12142481070 18213721605 21856465926 36427443210 54641164815 109282329630