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1012012320 = 253511191669
BaseRepresentation
bin111100010100100…
…001010100100000
32121112021112220210
4330110201110200
54033033343240
6244230534120
734035651144
oct7424412440
92545245823
101012012320
1147a288920
12242b07340
13131884977
1498597224
155dca5780
hex3c521520

1012012320 has 96 divisors (see below), whose sum is σ = 3477660480. Its totient is φ = 245335040.

The previous prime is 1012012301. The next prime is 1012012367. The reversal of 1012012320 is 232102101.

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 = 1012012296 and 1012012305.

It is an unprimeable number.

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, 90555 + ... + 101114.

It is an arithmetic number, because the mean of its divisors is an integer number (36225630).

Almost surely, 21012012320 is an apocalyptic number.

1012012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012012320 is an abundant number, since it is smaller than the sum of its proper divisors (2465648160).

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

1012012320 is a wasteful number, since it uses less digits than its factorization.

1012012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191698 (or 191690 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012012320 is about 31812.1410785253. The cubic root of 1012012320 is about 1003.9881799426.

Adding to 1012012320 its reverse (232102101), we get a palindrome (1244114421).

The spelling of 1012012320 in words is "one billion, twelve million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 191669 383338 575007 766676 958345 1150014 1533352 1916690 2108359 2300028 2875035 3066704 3833380 4216718 4600056 5750070 6133408 6325077 7666760 8433436 9200112 10541795 11500140 12650154 15333520 16866872 18400224 21083590 23000280 25300308 30667040 31625385 33733744 42167180 46000560 50600616 63250770 67467488 84334360 92001120 101201232 126501540 168668720 202402464 253003080 337337440 506006160 1012012320