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12523715105 = 5112961971327
BaseRepresentation
bin10111010100111100…
…01011101000100001
31012022210120122102012
423222132023220201
5201122032340410
65430414402305
7622230551636
oct135236135041
935283518365
1012523715105
115347346580
122516200395
131247801015
1486b3c818d
154d4720605
hex2ea78ba21

12523715105 has 64 divisors (see below), whose sum is σ = 17428884480. Its totient is φ = 8554291200.

The previous prime is 12523715069. The next prime is 12523715111. The reversal of 12523715105 is 50151732521.

12523715105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12523715105 - 218 = 12523452961 is a prime.

It is a super-2 number, since 2×125237151052 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 9436952 + ... + 9438278.

It is an arithmetic number, because the mean of its divisors is an integer number (272326320).

Almost surely, 212523715105 is an apocalyptic number.

It is an amenable number.

12523715105 is a deficient number, since it is larger than the sum of its proper divisors (4905169375).

12523715105 is a wasteful number, since it uses less digits than its factorization.

12523715105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530.

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 12523715105 in words is "twelve billion, five hundred twenty-three million, seven hundred fifteen thousand, one hundred five".

Divisors: 1 5 11 29 55 61 97 145 305 319 485 671 1067 1327 1595 1769 2813 3355 5335 5917 6635 8845 14065 14597 19459 29585 30943 38483 65087 72985 80947 97295 128719 154715 171593 192415 325435 404735 423313 643595 857965 890417 1415909 1887523 2116565 2347463 3732851 4452085 7079545 7851859 9437615 11737315 18664255 25822093 39259295 41061361 86370449 129110465 205306805 227703911 431852245 1138519555 2504743021 12523715105