Search a number
-
+
122133303123 = 31321394314021
BaseRepresentation
bin111000110111110110…
…1100100111101010011
3102200020200100122020020
41301233231210331103
54000112111144443
6132035100314523
711552401643016
oct1615755447523
9380220318206
10122133303123
114788407a357
121b806242a43
13b695165800
145ca87c137d
15329c3ea583
hex1c6fb64f53

122133303123 has 48 divisors (see below), whose sum is σ = 178059409920. Its totient is φ = 74426601600.

The previous prime is 122133303079. The next prime is 122133303151. The reversal of 122133303123 is 321303331221.

It is not a de Polignac number, because 122133303123 - 26 = 122133303059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122133303093 and 122133303102.

It is not an unprimeable number, because it can be changed into a prime (122133303923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30371853 + ... + 30375873.

It is an arithmetic number, because the mean of its divisors is an integer number (3709571040).

Almost surely, 2122133303123 is an apocalyptic number.

122133303123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122133303123 is a deficient number, since it is larger than the sum of its proper divisors (55926106797).

122133303123 is a wasteful number, since it uses less digits than its factorization.

122133303123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122133303123 its reverse (321303331221), we get a palindrome (443436634344).

The spelling of 122133303123 in words is "one hundred twenty-two billion, one hundred thirty-three million, three hundred three thousand, one hundred twenty-three".

Divisors: 1 3 13 39 139 169 417 431 507 1293 1807 4021 5421 5603 12063 16809 23491 52273 59909 70473 72839 156819 179727 218517 558919 679549 778817 1676757 1733051 2038647 2336451 5199153 7265947 10124621 21797841 22529663 30373863 67588989 94457311 240894089 283371933 292885619 722682267 878656857 3131623157 9394869471 40711101041 122133303123