Search a number
-
+
1312312032 = 25326174699
BaseRepresentation
bin100111000111000…
…0100101011100000
310101110100100200100
41032032010223200
510141422441112
6334115222400
744343316413
oct11616045340
93343310610
101312312032
116138474a9
123075a7a00
1317bb58cc5
14c6407b7a
157a3232dc
hex4e384ae0

1312312032 has 72 divisors (see below), whose sum is σ = 3793116600. Its totient is φ = 430260480.

The previous prime is 1312311983. The next prime is 1312312033. The reversal of 1312312032 is 2302132131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312311996 and 1312312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312312033) 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 11 ways as a sum of consecutive naturals, for example, 19782 + ... + 54917.

It is an arithmetic number, because the mean of its divisors is an integer number (52682175).

Almost surely, 21312312032 is an apocalyptic number.

1312312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312312032 is an abundant number, since it is smaller than the sum of its proper divisors (2480804568).

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

1312312032 is a wasteful number, since it uses less digits than its factorization.

1312312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74776 (or 74765 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312312032 is about 36225.8475677243. The cubic root of 1312312032 is about 1094.8275152097.

Adding to 1312312032 its reverse (2302132131), we get a palindrome (3614444163).

The spelling of 1312312032 in words is "one billion, three hundred twelve million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 74699 149398 224097 298796 448194 597592 672291 896388 1195184 1344582 1792776 2390368 2689164 3585552 4556639 5378328 7171104 9113278 10756656 13669917 18226556 21513312 27339834 36453112 41009751 54679668 72906224 82019502 109359336 145812448 164039004 218718672 328078008 437437344 656156016 1312312032