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12311441520 = 243577328239
BaseRepresentation
bin10110111011101000…
…11011000001110000
31011210000011000210120
423131310123001300
5200203212112040
65353352530240
7614042345340
oct133564330160
934700130716
1012311441520
115248540264
1224770b0980
13121283a351
1484b12cd20
154c0c8e7d0
hex2ddd1b070

12311441520 has 80 divisors (see below), whose sum is σ = 43617684480. Its totient is φ = 2814043392.

The previous prime is 12311441489. The next prime is 12311441521. The reversal of 12311441520 is 2514411321.

12311441520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311441521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3662440 + ... + 3665799.

It is an arithmetic number, because the mean of its divisors is an integer number (545221056).

Almost surely, 212311441520 is an apocalyptic number.

12311441520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311441520 is an abundant number, since it is smaller than the sum of its proper divisors (31306242960).

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

12311441520 is a wasteful number, since it uses less digits than its factorization.

12311441520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328262 (or 7328256 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12311441520 its reverse (2514411321), we get a palindrome (14825852841).

The spelling of 12311441520 in words is "twelve billion, three hundred eleven million, four hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7328239 14656478 21984717 29312956 36641195 43969434 51297673 58625912 73282390 87938868 102595346 109923585 117251824 146564780 153893019 175877736 205190692 219847170 256488365 293129560 307786038 351755472 410381384 439694340 512976730 586259120 615572076 769465095 820762768 879388680 1025953460 1231144152 1538930190 1758777360 2051906920 2462288304 3077860380 4103813840 6155720760 12311441520