Search a number
-
+
122103102001001 = 1111100282000091
BaseRepresentation
bin11011110000110101011000…
…000001010100111101101001
3121000022221110010020012120012
4123300311120001110331221
5112001014123103013001
61111405220215341305
734501441460221352
oct3360653001247551
9530287403205505
10122103102001001
11359a66a8949390
1211840495981835
135319372049514
142221b70938d29
15e1b2add5e2bb
hex6f0d58054f69

122103102001001 has 4 divisors (see below), whose sum is σ = 133203384001104. Its totient is φ = 111002820000900.

The previous prime is 122103102000961. The next prime is 122103102001033. The reversal of 122103102001001 is 100100201301221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122103102001001 - 26 = 122103102000937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122103102000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5550141000035 + ... + 5550141000056.

It is an arithmetic number, because the mean of its divisors is an integer number (33300846000276).

Almost surely, 2122103102001001 is an apocalyptic number.

122103102001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122103102001001 is a deficient number, since it is larger than the sum of its proper divisors (11100282000103).

122103102001001 is a wasteful number, since it uses less digits than its factorization.

122103102001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100282000102.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122103102001001 its reverse (100100201301221), we get a palindrome (222203303302222).

The spelling of 122103102001001 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred two million, one thousand, one".

Divisors: 1 11 11100282000091 122103102001001