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1053012000 = 2535387751
BaseRepresentation
bin111110110000111…
…011000000100000
32201101102112220110
4332300323000200
54124032341000
6252253411320
735044311555
oct7660730040
92641375813
101053012000
114a0441557
12254799b40
1313a20b531
149dbcaa2c
15626a3850
hex3ec3b020

1053012000 has 96 divisors (see below), whose sum is σ = 3449706624. Its totient is φ = 280800000.

The previous prime is 1053011989. The next prime is 1053012001. The reversal of 1053012000 is 2103501.

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

It is a super-2 number, since 2×10530120002 = 2217668544288000000, which contains 22 as substring.

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 (1053012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31876 + ... + 55875.

It is an arithmetic number, because the mean of its divisors is an integer number (35934444).

Almost surely, 21053012000 is an apocalyptic number.

1053012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053012000 is an abundant number, since it is smaller than the sum of its proper divisors (2396694624).

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

1053012000 is an equidigital number, since it uses as much as digits as its factorization.

1053012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87779 (or 87761 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1053012000 is about 32450.1463787145. The cubic root of 1053012000 is about 1017.3672975180.

Adding to 1053012000 its reverse (2103501), we get a palindrome (1055115501).

The spelling of 1053012000 in words is "one billion, fifty-three million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 87751 175502 263253 351004 438755 526506 702008 877510 1053012 1316265 1404016 1755020 2106024 2193775 2632530 2808032 3510040 4212048 4387550 5265060 6581325 7020080 8424096 8775100 10530120 10968875 13162650 14040160 17550200 21060240 21937750 26325300 32906625 35100400 42120480 43875500 52650600 65813250 70200800 87751000 105301200 131626500 175502000 210602400 263253000 351004000 526506000 1053012000