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12322101024 = 253417279641
BaseRepresentation
bin10110111100111010…
…00101011100100000
31011210202012120220000
423132131011130200
5200213424213044
65354413220000
7614232062532
oct133635053440
934722176800
1012322101024
115253560972
12247a791600
131214b0014c
1484c705852
154c1b97d69
hex2de745720

12322101024 has 120 divisors (see below), whose sum is σ = 38370797388. Its totient is φ = 3865743360.

The previous prime is 12322100953. The next prime is 12322101037. The reversal of 12322101024 is 42010122321.

It is a happy number.

12322101024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12174915600 + 147185424 = 110340^2 + 12132^2 .

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 = 12322100988 and 12322101006.

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 19 ways as a sum of consecutive naturals, for example, 95757 + ... + 183884.

Almost surely, 212322101024 is an apocalyptic number.

It is an amenable number.

12322101024 is an abundant number, since it is smaller than the sum of its proper divisors (26048696364).

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

12322101024 is a wasteful number, since it uses less digits than its factorization.

12322101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279680 (or 279663 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12322101024 its reverse (42010122321), we get a palindrome (54332223345).

The spelling of 12322101024 in words is "twelve billion, three hundred twenty-two million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 279641 559282 838923 1118564 1677846 2237128 2516769 3355692 4474256 4753897 5033538 6711384 7550307 8948512 9507794 10067076 13422768 14261691 15100614 19015588 20134152 22650921 26845536 28523382 30201228 38031176 40268304 42785073 45301842 57046764 60402456 76062352 80536608 85570146 90603684 114093528 120804912 128355219 152124704 171140292 181207368 228187056 241609824 256710438 342280584 362414736 385065657 456374112 513420876 684561168 724829472 770131314 1026841752 1369122336 1540262628 2053683504 3080525256 4107367008 6161050512 12322101024