Search a number
-
+
1312332131220 = 22351118111097947
BaseRepresentation
bin10011000110001101000…
…101110010101110010100
311122110100200102121221220
4103012031011302232110
5133000124011144340
62442513240010340
7163545546030615
oct23061505625624
94573320377856
101312332131220
11466614303980
121924094609b0
13969a1cc9ac6
1447735341c0c
152420b8eeed0
hex1318d172b94

1312332131220 has 96 divisors (see below), whose sum is σ = 4010795260416. Its totient is φ = 317965161600.

The previous prime is 1312332131107. The next prime is 1312332131311. The reversal of 1312332131220 is 221312332131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646287 + ... + 1744233.

It is an arithmetic number, because the mean of its divisors is an integer number (41779117296).

Almost surely, 21312332131220 is an apocalyptic number.

1312332131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312332131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005397630208).

1312332131220 is an abundant number, since it is smaller than the sum of its proper divisors (2698463129196).

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

1312332131220 is a wasteful number, since it uses less digits than its factorization.

1312332131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099781 (or 1099779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1312332131220 its reverse (221312332131), we get a palindrome (1533644463351).

The spelling of 1312332131220 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1811 3622 5433 7244 9055 10866 18110 19921 21732 27165 36220 39842 54330 59763 79684 99605 108660 119526 199210 239052 298815 398420 597630 1097947 1195260 2195894 3293841 4391788 5489735 6587682 10979470 12077417 13175364 16469205 21958940 24154834 32938410 36232251 48309668 60387085 65876820 72464502 120774170 144929004 181161255 241548340 362322510 724645020 1988382017 3976764034 5965146051 7953528068 9941910085 11930292102 19883820170 21872202187 23860584204 29825730255 39767640340 43744404374 59651460510 65616606561 87488808748 109361010935 119302921020 131233213122 218722021870 262466426244 328083032805 437444043740 656166065610 1312332131220