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10050105005 = 51929103107331
BaseRepresentation
bin10010101110000100…
…00110111010101101
3221221102001020021022
421113002012322231
5131040311330010
64341132343525
7504023324453
oct112702067255
927842036238
1010050105005
114298027706
121b45914ba5
13c421b15c5
146b4a869d3
153dc4a8d55
hex257086ead

10050105005 has 64 divisors (see below), whose sum is σ = 13424486400. Its totient is φ = 7193007360.

The previous prime is 10050104971. The next prime is 10050105011. The reversal of 10050105005 is 50050105001.

10050105005 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 10050105005 - 28 = 10050104749 is a prime.

It is a super-2 number, since 2×100501050052 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 30362690 + ... + 30363020.

It is an arithmetic number, because the mean of its divisors is an integer number (209757600).

Almost surely, 210050105005 is an apocalyptic number.

It is an amenable number.

10050105005 is a deficient number, since it is larger than the sum of its proper divisors (3374381395).

10050105005 is a wasteful number, since it uses less digits than its factorization.

10050105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 10050105005 in words is "ten billion, fifty million, one hundred five thousand, five".

Divisors: 1 5 19 29 95 103 107 145 331 515 535 551 1655 1957 2033 2755 2987 3103 6289 9599 9785 10165 11021 14935 15515 31445 34093 35417 47995 55105 56753 58957 170465 177085 182381 209399 283765 294785 319609 647767 672923 911905 988697 1027093 1046995 1598045 3238835 3364615 3647951 4943485 5135465 6072571 18239755 18785243 19514767 30362855 69311069 93926215 97573835 105790579 346555345 528952895 2010021001 10050105005