Search a number
-
+
10003121001 = 35411004027
BaseRepresentation
bin10010101000011101…
…11000001101101001
3221211010122012100000
421110032320031221
5130441244333001
64332333333213
7502613061036
oct112416701551
927733565300
1010003121001
114273556955
121b32037209
13c35540c13
146ac73638d
153d82c7a86
hex2543b8369

10003121001 has 24 divisors (see below), whose sum is σ = 15349580064. Its totient is φ = 6506088480.

The previous prime is 10003120991. The next prime is 10003121021. The reversal of 10003121001 is 10012130001.

It is not a de Polignac number, because 10003121001 - 213 = 10003112809 is a prime.

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 (10003121021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492051 + ... + 511976.

It is an arithmetic number, because the mean of its divisors is an integer number (639565836).

Almost surely, 210003121001 is an apocalyptic number.

It is an amenable number.

10003121001 is a deficient number, since it is larger than the sum of its proper divisors (5346459063).

10003121001 is an equidigital number, since it uses as much as digits as its factorization.

10003121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004083 (or 1004071 counting only the distinct ones).

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

Adding to 10003121001 its reverse (10012130001), we get a palindrome (20015251002).

The spelling of 10003121001 in words is "ten billion, three million, one hundred twenty-one thousand, one".

Divisors: 1 3 9 27 41 81 123 243 369 1107 3321 9963 1004027 3012081 9036243 27108729 41165107 81326187 123495321 243978561 370485963 1111457889 3334373667 10003121001