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10012133320301 = 7197310324141543
BaseRepresentation
bin1001000110110010000110…
…1001100110011001101101
31022110011001210012210020202
42101230201221212121231
52303014322112222201
633143302140123245
72052231666021050
oct221544151463155
938404053183222
1010012133320301
113210138275162
121158503236525
135781a8acbba8
14268838732a97
1512568a24ac6b
hex91b21a6666d

10012133320301 has 64 divisors (see below), whose sum is σ = 12379660001280. Its totient is φ = 7907788892160.

The previous prime is 10012133320291. The next prime is 10012133320309. The reversal of 10012133320301 is 10302333121001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012133320301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012133320309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240985736 + ... + 241027278.

It is an arithmetic number, because the mean of its divisors is an integer number (193432187520).

Almost surely, 210012133320301 is an apocalyptic number.

It is an amenable number.

10012133320301 is a deficient number, since it is larger than the sum of its proper divisors (2367526680979).

10012133320301 is a wasteful number, since it uses less digits than its factorization.

10012133320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41986.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10012133320301 its reverse (10302333121001), we get a palindrome (20314466441302).

The spelling of 10012133320301 in words is "ten trillion, twelve billion, one hundred thirty-three million, three hundred twenty thousand, three hundred one".

Divisors: 1 7 19 73 103 133 241 511 721 1387 1687 1957 4579 7519 9709 13699 17593 24823 32053 41543 52633 123151 142861 173761 290801 334267 471637 789317 1000027 1812079 2339869 3032639 3301459 4278929 5525219 10011863 12684553 21228473 29952503 34429501 57620141 70083041 81299651 190225397 241006507 312361817 403340987 569097557 730865999 1031221889 1331577779 2186532719 5116061993 5934874523 7218553223 13886453981 19593215891 41544121661 75279197897 97205177867 137152511237 526954385279 1430304760043 10012133320301