Search a number
-
+
122005331553 = 3717291122067
BaseRepresentation
bin111000110100000010…
…1011001111001100001
3102122220202120000020110
41301220011121321201
53444331331102203
6132014245401533
711546256131040
oct1615005317141
9378822500213
10122005331553
1147818913426
121b78b4092a9
13b6747aa3a1
145c957cc557
15329106cd03
hex1c68159e61

122005331553 has 48 divisors (see below), whose sum is σ = 197717981184. Its totient is φ = 65541315840.

The previous prime is 122005331543. The next prime is 122005331563. The reversal of 122005331553 is 355133500221.

It is an interprime number because it is at equal distance from previous prime (122005331543) and next prime (122005331563).

It is not a de Polignac number, because 122005331553 - 218 = 122005069409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122005331553.

It is not an unprimeable number, because it can be changed into a prime (122005331533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517826 + ... + 5539892.

It is an arithmetic number, because the mean of its divisors is an integer number (4119124608).

Almost surely, 2122005331553 is an apocalyptic number.

It is an amenable number.

122005331553 is a deficient number, since it is larger than the sum of its proper divisors (75712649631).

122005331553 is a wasteful number, since it uses less digits than its factorization.

122005331553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23022 (or 23005 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 122005331553 its reverse (355133500221), we get a palindrome (477138831774).

The spelling of 122005331553 in words is "one hundred twenty-two billion, five million, three hundred thirty-one thousand, five hundred fifty-three".

Divisors: 1 3 7 17 21 51 119 289 357 867 911 2023 2733 6069 6377 15487 19131 22067 46461 66201 108409 154469 263279 325227 375139 463407 789837 1125417 1842953 2625973 5528859 6377363 7877919 19132089 20103037 44641541 60309111 133924623 140721259 341751629 422163777 1025254887 2392261403 5809777693 7176784209 17429333079 40668443851 122005331553