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122313221325332 = 2289953837743037
BaseRepresentation
bin11011110011111001000100…
…000110111100001000010100
3121001002000210200210211101122
4123303321010012330020110
5112012434434124402312
61112045530153543112
734522560435055562
oct3363710406741024
9531060720724348
10122313221325332
1135a77822814744
1211875156414a98
1353331199a436b
14222bdc4960a32
15e219aa8b1b72
hex6f3e441bc214

122313221325332 has 48 divisors (see below), whose sum is σ = 216711202211280. Its totient is φ = 60397391695872.

The previous prime is 122313221325313. The next prime is 122313221325341. The reversal of 122313221325332 is 233523122313221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56556626731396 + 65756594593936 = 7520414^2 + 8109044^2 .

It is a super-2 number, since 2×1223132213253322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122313221325292 and 122313221325301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2842026518 + ... + 2842069554.

It is an arithmetic number, because the mean of its divisors is an integer number (4514816712735).

Almost surely, 2122313221325332 is an apocalyptic number.

It is an amenable number.

122313221325332 is a deficient number, since it is larger than the sum of its proper divisors (94397980885948).

122313221325332 is a wasteful number, since it uses less digits than its factorization.

122313221325332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52460 (or 52458 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

Adding to 122313221325332 its reverse (233523122313221), we get a palindrome (355836343638553).

The spelling of 122313221325332 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 89 178 356 953 1906 3812 8377 16754 33508 43037 84817 86074 169634 172148 339268 745553 1491106 2982212 3830293 7660586 7983281 15321172 15966562 31933124 41014261 82028522 164057044 360520949 710512009 721041898 1421024018 1442083796 2842048036 3650269229 7300538458 14601076916 32086364461 64172728922 128345457844 343576464397 687152928794 1374305857588 30578305331333 61156610662666 122313221325332