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10123001001 = 34124975321
BaseRepresentation
bin10010110110110000…
…01011110010101001
3222010111012201210000
421123120023302221
5131212442013001
64352255013213
7505600042311
oct113330136251
928114181700
1010123001001
114325196533
121b6620a209
13c54325329
146c0620441
153e3aa7a86
hex25b60bca9

10123001001 has 10 divisors (see below), whose sum is σ = 15122013962. Its totient is φ = 6748667280.

The previous prime is 10123000997. The next prime is 10123001011. The reversal of 10123001001 is 10010032101.

10123001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10097235225 + 25765776 = 100485^2 + 5076^2 .

It is not a de Polignac number, because 10123001001 - 22 = 10123000997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123001011) 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 9 ways as a sum of consecutive naturals, for example, 62487580 + ... + 62487741.

Almost surely, 210123001001 is an apocalyptic number.

It is an amenable number.

10123001001 is a deficient number, since it is larger than the sum of its proper divisors (4999012961).

10123001001 is an equidigital number, since it uses as much as digits as its factorization.

10123001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124975333 (or 124975324 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10123001001 its reverse (10010032101), we get a palindrome (20133033102).

The spelling of 10123001001 in words is "ten billion, one hundred twenty-three million, one thousand, one".

Divisors: 1 3 9 27 81 124975321 374925963 1124777889 3374333667 10123001001