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12305010144 = 253722615861
BaseRepresentation
bin10110111010110111…
…11000110111100000
31011202120001021121110
423131123320313200
5200200040311034
65353003023320
7613633601100
oct133533706740
934676037543
1012305010144
115244948279
122474b0ab40
1312113c7bbb
1484a337200
154c041dde9
hex2dd6f8de0

12305010144 has 72 divisors (see below), whose sum is σ = 37574241768. Its totient is φ = 3515715840.

The previous prime is 12305010127. The next prime is 12305010173. The reversal of 12305010144 is 44101050321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12305010144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303227 + ... + 1312634.

It is an arithmetic number, because the mean of its divisors is an integer number (521864469).

Almost surely, 212305010144 is an apocalyptic number.

12305010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12305010144 is an abundant number, since it is smaller than the sum of its proper divisors (25269231624).

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

12305010144 is a wasteful number, since it uses less digits than its factorization.

12305010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615888 (or 2615873 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12305010144 its reverse (44101050321), we get a palindrome (56406060465).

The spelling of 12305010144 in words is "twelve billion, three hundred five million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2615861 5231722 7847583 10463444 15695166 18311027 20926888 31390332 36622054 41853776 54933081 62780664 73244108 83707552 109866162 125561328 128177189 146488216 219732324 251122656 256354378 292976432 384531567 439464648 512708756 585952864 769063134 878929296 1025417512 1538126268 1757858592 2050835024 3076252536 4101670048 6152505072 12305010144