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10005515001 = 323732980493
BaseRepresentation
bin10010101000110000…
…00000101011111001
3221211022010211021200
421110120000223321
5130442402440001
64332500524413
7502642321446
oct112430005371
927738124250
1010005515001
114274941569
121b329b0709
13c35b9b7a1
146acb9a9cd
153d85ec086
hex254600af9

10005515001 has 12 divisors (see below), whose sum is σ = 14491161828. Its totient is φ = 6652458144.

The previous prime is 10005514979. The next prime is 10005515017. The reversal of 10005515001 is 10051550001.

It can be written as a sum of positive squares in 2 ways, for example, as 7110536976 + 2894978025 = 84324^2 + 53805^2 .

It is not a de Polignac number, because 10005515001 - 217 = 10005383929 is a prime.

It is a super-2 number, since 2×100055150012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005511001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486890 + ... + 1493603.

It is an arithmetic number, because the mean of its divisors is an integer number (1207596819).

Almost surely, 210005515001 is an apocalyptic number.

It is an amenable number.

10005515001 is a deficient number, since it is larger than the sum of its proper divisors (4485646827).

10005515001 is a wasteful number, since it uses less digits than its factorization.

10005515001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980872 (or 2980869 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10005515001 in words is "ten billion, five million, five hundred fifteen thousand, one".

Divisors: 1 3 9 373 1119 3357 2980493 8941479 26824437 1111723889 3335171667 10005515001