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12103022304 = 25321012571619
BaseRepresentation
bin10110100010110010…
…10111011011100000
31011020110222020101100
423101121113123200
5144241333203204
65320545434400
7605631664212
oct132131273340
934213866340
1012103022304
11515092787a
12241933ba00
1311ab5c5b79
1482b5985b2
154ac820a39
hex2d16576e0

12103022304 has 144 divisors (see below), whose sum is σ = 34915542480. Its totient is φ = 3976396800.

The previous prime is 12103022299. The next prime is 12103022341. The reversal of 12103022304 is 40322030121.

12103022304 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 (144).

It is a super-2 number, since 2×121030223042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7474807 + ... + 7476425.

It is an arithmetic number, because the mean of its divisors is an integer number (242469045).

Almost surely, 212103022304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457771240).

12103022304 is an abundant number, since it is smaller than the sum of its proper divisors (22812520176).

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

12103022304 is a wasteful number, since it uses less digits than its factorization.

12103022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12103022304 its reverse (40322030121), we get a palindrome (52425052425).

The spelling of 12103022304 in words is "twelve billion, one hundred three million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 257 288 303 404 514 606 771 808 909 1028 1212 1542 1616 1619 1818 2056 2313 2424 3084 3232 3238 3636 4112 4626 4848 4857 6168 6476 7272 8224 9252 9696 9714 12336 12952 14544 14571 18504 19428 24672 25904 25957 29088 29142 37008 38856 51808 51914 58284 74016 77712 77871 103828 116568 155424 155742 163519 207656 233136 233613 311484 327038 415312 416083 466272 467226 490557 622968 654076 830624 832166 934452 981114 1245936 1248249 1308152 1471671 1664332 1868904 1962228 2491872 2496498 2616304 2943342 3328664 3737808 3744747 3924456 4992996 5232608 5886684 6657328 7475616 7489494 7848912 9985992 11773368 13314656 14978988 15697824 19971984 23546736 29957976 39943968 42024383 47093472 59915952 84048766 119831904 126073149 168097532 252146298 336195064 378219447 504292596 672390128 756438894 1008585192 1344780256 1512877788 2017170384 3025755576 4034340768 6051511152 12103022304