Search a number
-
+
122330223213 = 31137836771783
BaseRepresentation
bin111000111101101110…
…0110001001001101101
3102200202101220012210220
41301323130301021231
54001013014120323
6132110413121553
711560312512042
oct1617334611155
9380671805726
10122330223213
1147975249330
121b8601892b9
13b6c6bb1c83
145cc6a011c9
1532ae8470e3
hex1c7b73126d

122330223213 has 64 divisors (see below), whose sum is σ = 185322719232. Its totient is φ = 71121473280.

The previous prime is 122330223203. The next prime is 122330223227. The reversal of 122330223213 is 312322033221.

It is not a de Polignac number, because 122330223213 - 26 = 122330223149 is a prime.

It is a super-2 number, since 2×1223302232132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330223203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68608320 + ... + 68610102.

It is an arithmetic number, because the mean of its divisors is an integer number (2895667488).

Almost surely, 2122330223213 is an apocalyptic number.

It is an amenable number.

122330223213 is a deficient number, since it is larger than the sum of its proper divisors (62992496019).

122330223213 is a wasteful number, since it uses less digits than its factorization.

122330223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122330223213 its reverse (312322033221), we get a palindrome (434652256434).

It can be divided in two parts, 122330 and 223213, that added together give a palindrome (345543).

The spelling of 122330223213 in words is "one hundred twenty-two billion, three hundred thirty million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 83 111 249 407 677 913 1221 1783 2031 2739 3071 5349 7447 9213 19613 22341 25049 33781 56191 58839 65971 75147 101343 147989 168573 197913 275539 443967 618101 725681 826617 1207091 1627879 1854303 2079067 2177043 3621273 4883637 5475593 6237201 13278001 16426779 22869737 39834003 44662367 60231523 68609211 100188553 133987101 180694569 300565659 491286037 1102074083 1473858111 3306222249 3706976461 11120929383 40776741071 122330223213