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10005050601 = 3271337330167
BaseRepresentation
bin10010101000101100…
…01111010011101001
3221211021021020020200
421110112033103221
5130442243104401
64332442542413
7502635345510
oct112426172351
927737236220
1010005050601
114274654667
121b32807a09
13c35a682b0
146acab9677
153d8559686
hex25458f4e9

10005050601 has 48 divisors (see below), whose sum is σ = 18267535104. Its totient is φ = 5134741632.

The previous prime is 10005050581. The next prime is 10005050621. The reversal of 10005050601 is 10605050001.

10005050601 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 0 + 50 + 601 = 666.

10005050601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005050581) and next prime (10005050621).

It is not a de Polignac number, because 10005050601 - 225 = 9971496169 is a prime.

It is a super-2 number, since 2×100050506012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005050621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134781 + ... + 195386.

It is an arithmetic number, because the mean of its divisors is an integer number (380573648).

Almost surely, 210005050601 is an apocalyptic number.

It is an amenable number.

10005050601 is a deficient number, since it is larger than the sum of its proper divisors (8262484503).

10005050601 is a wasteful number, since it uses less digits than its factorization.

10005050601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330230 (or 330227 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10005050601 in words is "ten billion, five million, fifty thousand, six hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 330167 990501 2311169 2971503 4292171 6933507 12216179 12876513 20800521 30045197 36648537 38629539 85513253 90135591 109945611 158810327 256539759 270406773 476430981 769619277 1111672289 1429292943 3335016867 10005050601