Search a number
-
+
122140251441 = 321317311980899
BaseRepresentation
bin111000111000000100…
…0000101010100110001
3102200021011102122112100
41301300020011110301
54000120401021231
6132035505251013
711552515002345
oct1616010052461
9380234378470
10122140251441
1147887a9576a
121b808633a69
13b696729340
145ca96ad625
15329cd1e1e6
hex1c70205531

122140251441 has 48 divisors (see below), whose sum is σ = 207661708800. Its totient is φ = 68459834880.

The previous prime is 122140251437. The next prime is 122140251463. The reversal of 122140251441 is 144152041221.

122140251441 is a `hidden beast` number, since 1 + 2 + 2 + 140 + 2 + 514 + 4 + 1 = 666.

It is not a de Polignac number, because 122140251441 - 22 = 122140251437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122140251481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928791 + ... + 1052108.

It is an arithmetic number, because the mean of its divisors is an integer number (4326285600).

Almost surely, 2122140251441 is an apocalyptic number.

It is an amenable number.

122140251441 is a deficient number, since it is larger than the sum of its proper divisors (85521457359).

122140251441 is a wasteful number, since it uses less digits than its factorization.

122140251441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980966 (or 1980963 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 122140251441 its reverse (144152041221), we get a palindrome (266292292662).

The spelling of 122140251441 in words is "one hundred twenty-two billion, one hundred forty million, two hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 17 31 39 51 93 117 153 221 279 403 527 663 1209 1581 1989 3627 4743 6851 20553 61659 1980899 5942697 17828091 25751687 33675283 61407869 77255061 101025849 184223607 231765183 303077547 437778679 552670821 798302297 1043933773 1313336037 2394906891 3131801319 3940008111 7184720673 9395403957 13571139049 40713417147 122140251441