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10101009327 = 371132135899
BaseRepresentation
bin10010110100001000…
…10010101110101111
3222001221211102212120
421122010102232233
5131141324244302
64350151404023
7505212106533
oct113204225657
928057742776
1010101009327
1143138358a2
121b5a983613
13c4c8c54c6
146bb737bc3
153e1bb19bc
hex25a112baf

10101009327 has 16 divisors (see below), whose sum is σ = 13668422400. Its totient is φ = 6633950400.

The previous prime is 10101009241. The next prime is 10101009397. The reversal of 10101009327 is 72390010101.

10101009327 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 10101009327 - 28 = 10101009071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101009297 and 10101009306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101009397) 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 15 ways as a sum of consecutive naturals, for example, 263424 + ... + 299322.

It is an arithmetic number, because the mean of its divisors is an integer number (854276400).

Almost surely, 210101009327 is an apocalyptic number.

10101009327 is a deficient number, since it is larger than the sum of its proper divisors (3567413073).

10101009327 is a wasteful number, since it uses less digits than its factorization.

10101009327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37294.

The product of its (nonzero) digits is 378, while the sum is 24.

Adding to 10101009327 its reverse (72390010101), we get a palindrome (82491019428).

The spelling of 10101009327 in words is "ten billion, one hundred one million, nine thousand, three hundred twenty-seven".

Divisors: 1 3 71 213 1321 3963 35899 93791 107697 281373 2548829 7646487 47422579 142267737 3367003109 10101009327