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1030012320 = 253517126227
BaseRepresentation
bin111101011001001…
…011110110100000
32122210011001021110
4331121023312200
54102140343240
6250112423320
734344650241
oct7531136640
92583131243
101030012320
11489462557
12248b47b40
1313551795c
149ab20cc8
156065dc80
hex3d64bda0

1030012320 has 96 divisors (see below), whose sum is σ = 3435421248. Its totient is φ = 258510848.

The previous prime is 1030012309. The next prime is 1030012331. The reversal of 1030012320 is 232100301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1030012309) and next prime (1030012331).

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 = 1030012296 and 1030012305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54954 + ... + 71273.

It is an arithmetic number, because the mean of its divisors is an integer number (35785638).

Almost surely, 21030012320 is an apocalyptic number.

1030012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030012320 is an abundant number, since it is smaller than the sum of its proper divisors (2405408928).

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

1030012320 is a wasteful number, since it uses less digits than its factorization.

1030012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126262 (or 126254 counting only the distinct ones).

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

The square root of 1030012320 is about 32093.8050096900. The cubic root of 1030012320 is about 1009.9056605673.

Adding to 1030012320 its reverse (232100301), we get a palindrome (1262112621).

The spelling of 1030012320 in words is "one billion, thirty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 126227 252454 378681 504908 631135 757362 1009816 1262270 1514724 1893405 2019632 2145859 2524540 3029448 3786810 4039264 4291718 5049080 6058896 6437577 7573620 8583436 10098160 10729295 12117792 12875154 15147240 17166872 20196320 21458590 25750308 30294480 32187885 34333744 42917180 51500616 60588960 64375770 68667488 85834360 103001232 128751540 171668720 206002464 257503080 343337440 515006160 1030012320