Search a number
-
+
122243004213020 = 2251271103122335677
BaseRepresentation
bin11011110010110111101010…
…110101111010011100011100
3121000211022120010220221102022
4123302313222311322130130
5112010312133034304040
61111553354425315312
734514523413340455
oct3362675265723434
9530738503827368
10122243004213020
1135a4aa70011a09
121186361a935b38
1353296095907b2
14222884319012c
15e1ec4b1b66b5
hex6f2dead7a71c

122243004213020 has 96 divisors (see below), whose sum is σ = 259185231986688. Its totient is φ = 48427214314752.

The previous prime is 122243004213017. The next prime is 122243004213061. The reversal of 122243004213020 is 20312400342221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3426363422 + ... + 3426399098.

It is an arithmetic number, because the mean of its divisors is an integer number (2699846166528).

Almost surely, 2122243004213020 is an apocalyptic number.

122243004213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122243004213020 is an abundant number, since it is smaller than the sum of its proper divisors (136942227773668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122243004213020 is a wasteful number, since it uses less digits than its factorization.

122243004213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38139 (or 38137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122243004213020 its reverse (20312400342221), we get a palindrome (142555404555241).

The spelling of 122243004213020 in words is "one hundred twenty-two trillion, two hundred forty-three billion, four million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1103 1223 1270 2206 2446 2540 4412 4892 5515 6115 11030 12230 22060 24460 35677 71354 140081 142708 155321 178385 280162 310642 356770 560324 621284 700405 713540 776605 1348969 1400810 1553210 2697938 2801620 3106420 4530979 5395876 6744845 9061958 13489690 18123916 22654895 26979380 39351731 43632971 45309790 78703462 87265942 90619580 157406924 171319063 174531884 196758655 218164855 342638126 393517310 436329710 685276252 787034620 856595315 872659420 1713190630 3426381260 4997669837 5541387317 9995339674 11082774634 19990679348 22165549268 24988349185 27706936585 48127167013 49976698370 55413873170 96254334026 99953396740 110827746340 192508668052 240635835065 481271670130 962543340260 6112150210651 12224300421302 24448600842604 30560751053255 61121502106510 122243004213020