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1038386000300 = 2252113881243233
BaseRepresentation
bin11110001110001001010…
…00001111000110101100
310200021020220110021121212
433013010220033012230
5114003103304002200
62113010011413552
7135010113241235
oct17070450170654
93607226407555
101038386000300
11370416910090
121492b54542b8
1376bc4b5309c
143838851808c
151c0266d6035
hexf1c4a0f1ac

1038386000300 has 72 divisors (see below), whose sum is σ = 2458786346352. Its totient is φ = 377496064000.

The previous prime is 1038386000297. The next prime is 1038386000347. The reversal of 1038386000300 is 30006838301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147484 + ... + 4390716.

It is an arithmetic number, because the mean of its divisors is an integer number (34149810366).

Almost surely, 21038386000300 is an apocalyptic number.

1038386000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038386000300 is an abundant number, since it is smaller than the sum of its proper divisors (1420400346052).

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

1038386000300 is a wasteful number, since it uses less digits than its factorization.

1038386000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247139 (or 247132 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1038386000300 in words is "one trillion, thirty-eight billion, three hundred eighty-six million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3881 7762 15524 19405 38810 42691 77620 85382 97025 170764 194050 213455 243233 388100 426910 486466 853820 972932 1067275 1216165 2134550 2432330 2675563 4269100 4864660 5351126 6080825 10702252 12161650 13377815 24323300 26755630 53511260 66889075 133778150 267556300 943987273 1887974546 3775949092 4719936365 9439872730 10383860003 18879745460 20767720006 23599681825 41535440012 47199363650 51919300015 94398727300 103838600030 207677200060 259596500075 519193000150 1038386000300