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1012300320 = 25356731477
BaseRepresentation
bin111100010101100…
…111101000100000
32121112211011222110
4330111213220200
54033122102240
6244241035320
734041260613
oct7425475040
92545734873
101012300320
1147a465239
12243025b40
13131955a95
149863017a
155dd10c80
hex3c567a20

1012300320 has 96 divisors (see below), whose sum is σ = 3236442048. Its totient is φ = 265909248.

The previous prime is 1012300313. The next prime is 1012300327. The reversal of 1012300320 is 230032101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012300313) and next prime (1012300327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012300296 and 1012300305.

It is not an unprimeable number, because it can be changed into a prime (1012300327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16422 + ... + 47898.

It is an arithmetic number, because the mean of its divisors is an integer number (33712938).

Almost surely, 21012300320 is an apocalyptic number.

1012300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618221024).

1012300320 is an abundant number, since it is smaller than the sum of its proper divisors (2224141728).

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

1012300320 is a wasteful number, since it uses less digits than its factorization.

1012300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31562 (or 31554 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1012300320 is about 31816.6673301903. The cubic root of 1012300320 is about 1004.0834097357.

Adding to 1012300320 its reverse (230032101), we get a palindrome (1242332421).

The spelling of 1012300320 in words is "one billion, twelve million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 31477 32160 62954 94431 125908 157385 188862 251816 314770 377724 472155 503632 629540 755448 944310 1007264 1259080 1510896 1888620 2108959 2518160 3021792 3777240 4217918 5036320 6326877 7554480 8435836 10544795 12653754 15108960 16871672 21089590 25307508 31634385 33743344 42179180 50615016 63268770 67486688 84358360 101230032 126537540 168716720 202460064 253075080 337433440 506150160 1012300320