Search a number
-
+
122121306506341 = 173705903505817
BaseRepresentation
bin11011110001000110010101…
…000110000000010001100101
3121000101200102211012220011201
4123301012111012000101211
5112001313413431200331
61111421430445202501
734502654551034062
oct3361062506002145
9530350384186151
10122121306506341
1135a0339a91071a
1211843b16560431
13531acb375097c
1422229ba59bc69
15e1b9c7161a61
hex6f1195180465

122121306506341 has 4 divisors (see below), whose sum is σ = 122827210012332. Its totient is φ = 121415403000352.

The previous prime is 122121306506273. The next prime is 122121306506347. The reversal of 122121306506341 is 143605603121221.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66578256202500 + 55543050303841 = 8159550^2 + 7452721^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121306506341 - 211 = 122121306504293 is a prime.

It is a super-2 number, since 2×1221213065063412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121306506341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121306506347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352951752736 + ... + 352951753081.

It is an arithmetic number, because the mean of its divisors is an integer number (30706802503083).

Almost surely, 2122121306506341 is an apocalyptic number.

It is an amenable number.

122121306506341 is a deficient number, since it is larger than the sum of its proper divisors (705903505991).

122121306506341 is an equidigital number, since it uses as much as digits as its factorization.

122121306506341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705903505990.

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 122121306506341 its reverse (143605603121221), we get a palindrome (265726909627562).

The spelling of 122121306506341 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, three hundred six million, five hundred six thousand, three hundred forty-one".

Divisors: 1 173 705903505817 122121306506341