Search a number
-
+
122020113033 = 32713412936083
BaseRepresentation
bin111000110100011110…
…1110010101010001001
3102122221210100222121200
41301220331302222021
53444344122104113
6132015534254413
711546525563530
oct1615075625211
9378853328550
10122020113033
1147826199a25
121b794357409
13b677884420
145c97759317
1532924dc873
hex1c68f72a89

122020113033 has 48 divisors (see below), whose sum is σ = 216983195520. Its totient is φ = 64344886272.

The previous prime is 122020113013. The next prime is 122020113037. The reversal of 122020113033 is 330311020221.

It is not a de Polignac number, because 122020113033 - 25 = 122020113001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122020112997 and 122020113015.

It is not an unprimeable number, because it can be changed into a prime (122020113037) 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 47 ways as a sum of consecutive naturals, for example, 3363610 + ... + 3399692.

It is an arithmetic number, because the mean of its divisors is an integer number (4520483240).

Almost surely, 2122020113033 is an apocalyptic number.

122020113033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122020113033 is a deficient number, since it is larger than the sum of its proper divisors (94963082487).

122020113033 is a wasteful number, since it uses less digits than its factorization.

122020113033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40238 (or 40235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122020113033 its reverse (330311020221), we get a palindrome (452331133254).

The spelling of 122020113033 in words is "one hundred twenty-two billion, twenty million, one hundred thirteen thousand, thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 4129 12387 28903 36083 37161 53677 86709 108249 161031 252581 260127 324747 375739 469079 483093 757743 1127217 1407237 2273229 3283553 3381651 4221711 9850659 29551977 148986707 446960121 1042906949 1340880363 1936827191 3128720847 5810481573 9386162541 13557790337 17431444719 40673371011 122020113033