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122103031022001 = 3213567003446889
BaseRepresentation
bin11011110000110101010011…
…110010100100000110110001
3121000022221021011200002200100
4123300311103302210012301
5112001014001420201001
61111405205202143013
734501436636006451
oct3360652362440661
9530287234602610
10122103031022001
11359a6671879857
1211840476051a69
135319360427203
142221b6533dd61
15e1b2a79dd586
hex6f0d53ca41b1

122103031022001 has 6 divisors (see below), whose sum is σ = 176371044809570. Its totient is φ = 81402020681328.

The previous prime is 122103031021999. The next prime is 122103031022033. The reversal of 122103031022001 is 100220130301221.

122103031022001 is a `hidden beast` number, since 122 + 1 + 0 + 30 + 310 + 2 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120210370474401 + 1892660547600 = 10964049^2 + 1375740^2 .

It is not a de Polignac number, because 122103031022001 - 21 = 122103031021999 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 (122103031026001) 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 5 ways as a sum of consecutive naturals, for example, 6783501723436 + ... + 6783501723453.

Almost surely, 2122103031022001 is an apocalyptic number.

It is an amenable number.

122103031022001 is a deficient number, since it is larger than the sum of its proper divisors (54268013787569).

122103031022001 is a wasteful number, since it uses less digits than its factorization.

122103031022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567003446895 (or 13567003446892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122103031022001 its reverse (100220130301221), we get a palindrome (222323161323222).

The spelling of 122103031022001 in words is "one hundred twenty-two trillion, one hundred three billion, thirty-one million, twenty-two thousand, one".

Divisors: 1 3 9 13567003446889 40701010340667 122103031022001