Search a number
-
+
10122110001 = 34432906147
BaseRepresentation
bin10010110110101001…
…10010010000110001
3222010102112110120000
421123110302100301
5131212230010001
64352223540213
7505556341533
oct113324622061
928112473500
1010122110001
114324738073
121b65a5a669
13c540a2903
146c046b853
153e397da86
hex25b532431

10122110001 has 20 divisors (see below), whose sum is σ = 15472331952. Its totient is φ = 6591139128.

The previous prime is 10122109981. The next prime is 10122110057. The reversal of 10122110001 is 10001122101.

It is a happy number.

It is not a de Polignac number, because 10122110001 - 29 = 10122109489 is a prime.

It is a super-2 number, since 2×101221100012 (a number of 21 digits) contains 22 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 (10122110081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1449591 + ... + 1456556.

Almost surely, 210122110001 is an apocalyptic number.

It is an amenable number.

10122110001 is a deficient number, since it is larger than the sum of its proper divisors (5350221951).

10122110001 is an equidigital number, since it uses as much as digits as its factorization.

10122110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906202 (or 2906193 counting only the distinct ones).

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

Adding to 10122110001 its reverse (10001122101), we get a palindrome (20123232102).

The spelling of 10122110001 in words is "ten billion, one hundred twenty-two million, one hundred ten thousand, one".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 2906147 8718441 26155323 78465969 124964321 235397907 374892963 1124678889 3374036667 10122110001