Search a number
-
+
10122001001 = 7359500173
BaseRepresentation
bin10010110110101000…
…10111101001101001
3222010102022221000222
421123110113221221
5131212213013001
64352221335425
7505555406000
oct113324275151
928112287028
1010122001001
114324673192
121b65a07575
13c54065108
146c043dc37
153e395b61b
hex25b517a69

10122001001 has 16 divisors (see below), whose sum is σ = 12004176000. Its totient is φ = 8528932944.

The previous prime is 10122000961. The next prime is 10122001009. The reversal of 10122001001 is 10010022101.

It is not a de Polignac number, because 10122001001 - 226 = 10054892137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122001001.

It is not an unprimeable number, because it can be changed into a prime (10122001009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229850 + ... + 270323.

It is an arithmetic number, because the mean of its divisors is an integer number (750261000).

Almost surely, 210122001001 is an apocalyptic number.

It is an amenable number.

10122001001 is a deficient number, since it is larger than the sum of its proper divisors (1882174999).

10122001001 is an frugal number, since it uses more digits than its factorization.

10122001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500253 (or 500239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10122001001 its reverse (10010022101), we get a palindrome (20132023102).

The spelling of 10122001001 in words is "ten billion, one hundred twenty-two million, one thousand, one".

Divisors: 1 7 49 59 343 413 2891 20237 500173 3501211 24508477 29510207 171559339 206571449 1446000143 10122001001