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1013322000 = 24353168887
BaseRepresentation
bin111100011001100…
…001000100010000
32121121202002110110
4330121201010100
54033402301000
6244315001320
734053044355
oct7431410420
92547662413
101013322000
1147aaa28a9
12243439240
13131c22b22
149881862c
155de63850
hex3c661110

1013322000 has 80 divisors (see below), whose sum is σ = 3266969472. Its totient is φ = 270217600.

The previous prime is 1013321983. The next prime is 1013322001. The reversal of 1013322000 is 2233101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (1013322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78444 + ... + 90443.

Almost surely, 21013322000 is an apocalyptic number.

1013322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013322000 is an abundant number, since it is smaller than the sum of its proper divisors (2253647472).

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

1013322000 is a wasteful number, since it uses less digits than its factorization.

1013322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168913 (or 168897 counting only the distinct ones).

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

The square root of 1013322000 is about 31832.7190167601. The cubic root of 1013322000 is about 1004.4210918089.

Adding to 1013322000 its reverse (2233101), we get a palindrome (1015555101).

The spelling of 1013322000 in words is "one billion, thirteen million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 168887 337774 506661 675548 844435 1013322 1351096 1688870 2026644 2533305 2702192 3377740 4053288 4222175 5066610 6755480 8106576 8444350 10133220 12666525 13510960 16888700 20266440 21110875 25333050 33777400 40532880 42221750 50666100 63332625 67554800 84443500 101332200 126665250 168887000 202664400 253330500 337774000 506661000 1013322000