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10101001041 = 326174324763
BaseRepresentation
bin10010110100001000…
…10000101101010001
3222001221211000111200
421122010100231101
5131141324013131
64350151301413
7505212043425
oct113204205521
928057730450
1010101001041
11431382a64a
121b5a97a869
13c4c8c17c1
146bb734b85
153e1bae2e6
hex25a110b51

10101001041 has 24 divisors (see below), whose sum is σ = 14850079296. Its totient is φ = 6614425440.

The previous prime is 10101001037. The next prime is 10101001123. The reversal of 10101001041 is 14010010101.

10101001041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101001041 - 22 = 10101001037 is a prime.

It is a super-3 number, since 3×101010010413 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10101001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395526 + ... + 420288.

It is an arithmetic number, because the mean of its divisors is an integer number (618753304).

Almost surely, 210101001041 is an apocalyptic number.

It is an amenable number.

10101001041 is a deficient number, since it is larger than the sum of its proper divisors (4749078255).

10101001041 is a wasteful number, since it uses less digits than its factorization.

10101001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25573 (or 25570 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101001041 its reverse (14010010101), we get a palindrome (24111011142).

The spelling of 10101001041 in words is "ten billion, one hundred one million, one thousand, forty-one".

Divisors: 1 3 9 61 183 549 743 2229 6687 24763 45323 74289 135969 222867 407907 1510543 4531629 13594887 18398909 55196727 165590181 1122333449 3367000347 10101001041