Search a number
-
+
122121210020331 = 3881174492648033
BaseRepresentation
bin11011110001000110001111…
…010101111100000111101011
3121000101200012002122220020210
4123301012033111330013223
5112001313214231122311
61111421413121152203
734502652266645544
oct3361061725740753
9530350162586223
10122121210020331
1135a033503aa315
1211843aaa18b663
13531ac9976a762
1422229ab8434cb
15e1b9bd9533a6
hex6f118f57c1eb

122121210020331 has 16 divisors (see below), whose sum is σ = 163022505962400. Its totient is φ = 81317037711360.

The previous prime is 122121210020273. The next prime is 122121210020351. The reversal of 122121210020331 is 133020012121221.

It is not a de Polignac number, because 122121210020331 - 29 = 122121210019819 is a prime.

It is a super-2 number, since 2×1221212100203312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121210020298 and 122121210020307.

It is not an unprimeable number, because it can be changed into a prime (122121210020351) 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, 44793691 + ... + 47441723.

It is an arithmetic number, because the mean of its divisors is an integer number (10188906622650).

Almost surely, 2122121210020331 is an apocalyptic number.

122121210020331 is a deficient number, since it is larger than the sum of its proper divisors (40901295942069).

122121210020331 is a wasteful number, since it uses less digits than its factorization.

122121210020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666366.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122121210020331 its reverse (133020012121221), we get a palindrome (255141222141552).

The spelling of 122121210020331 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred ten million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 881 2643 17449 52347 2648033 7944099 15372569 46117707 2332917073 6998751219 46205527817 138616583451 40707070006777 122121210020331