Search a number
-
+
122110100001 = 32371683121787
BaseRepresentation
bin111000110111001010…
…1000100001000100001
3102200012001200210112100
41301232111010020201
54000040141200001
6132032511121013
711552000503311
oct1615625041041
9380161623470
10122110100001
1147871a7151a
121b7ba513169
13b690400456
145ca56a1441
15329a365586
hex1c6e544221

122110100001 has 24 divisors (see below), whose sum is σ = 181167394304. Its totient is φ = 79198210080.

The previous prime is 122110099997. The next prime is 122110100017. The reversal of 122110100001 is 100001011221.

It is a happy number.

It is not a de Polignac number, because 122110100001 - 22 = 122110099997 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 (122110100041) 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, 5593830 + ... + 5615616.

Almost surely, 2122110100001 is an apocalyptic number.

It is an amenable number.

122110100001 is a deficient number, since it is larger than the sum of its proper divisors (59057294303).

122110100001 is a wasteful number, since it uses less digits than its factorization.

122110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38661 (or 38658 counting only the distinct ones).

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

Adding to 122110100001 its reverse (100001011221), we get a palindrome (222111111222).

It can be divided in two parts, 122110 and 100001, that added together give a triangular number (222111 = T666).

The spelling of 122110100001 in words is "one hundred twenty-two billion, one hundred ten million, one hundred thousand, one".

Divisors: 1 3 9 37 111 333 16831 21787 50493 65361 151479 196083 622747 806119 1868241 2418357 5604723 7255071 366696997 1100090991 3300272973 13567788889 40703366667 122110100001