Search a number
-
+
122030333433 = 3323432106277
BaseRepresentation
bin111000110100110010…
…0110001110111111001
3102122222111121020101000
41301221210301313321
53444404231132213
6132020541315213
711550011501601
oct1615144616771
9378874536330
10122030333433
1147830a3a738
121b797865b09
13b679a223b8
145c98c59c01
15329335ac73
hex1c69931df9

122030333433 has 48 divisors (see below), whose sum is σ = 193136883840. Its totient is φ = 76006044576.

The previous prime is 122030333429. The next prime is 122030333441. The reversal of 122030333433 is 334333030221.

It is a happy number.

122030333433 is a `hidden beast` number, since 1 + 2 + 20 + 303 + 334 + 3 + 3 = 666.

It is not a de Polignac number, because 122030333433 - 22 = 122030333429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122030333397 and 122030333406.

It is not an unprimeable number, because it can be changed into a prime (122030333443) 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, 1095091 + ... + 1201367.

It is an arithmetic number, because the mean of its divisors is an integer number (4023685080).

Almost surely, 2122030333433 is an apocalyptic number.

It is an amenable number.

122030333433 is a deficient number, since it is larger than the sum of its proper divisors (71106550407).

122030333433 is a wasteful number, since it uses less digits than its factorization.

122030333433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106395 (or 106346 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 122030333433 its reverse (334333030221), we get a palindrome (456363363654).

It can be divided in two parts, 1220303 and 33433, that added together give a triangular number (1253736 = T1583).

The spelling of 122030333433 in words is "one hundred twenty-two billion, thirty million, three hundred thirty-three thousand, four hundred thirty-three".

Divisors: 1 3 9 23 27 43 69 129 207 387 621 989 1161 1849 2967 5547 8901 16641 26703 42527 49923 106277 127581 318831 382743 956493 1148229 2444371 2869479 4569911 7333113 13709733 21999339 41129199 65998017 105107953 123387597 196506173 315323859 589518519 945971577 1768555557 2837914731 4519641979 5305666671 13558925937 40676777811 122030333433