Search a number
-
+
122212321311330 = 23353343631353733
BaseRepresentation
bin11011110010011011000101…
…111111111011101001100010
3121000201101100210122001001000
4123302123011333323221202
5112004311313223430310
61111531322040252430
734512356152102545
oct3362330577735142
9530641323561030
10122212321311330
1135a38a55347818
1211859697171116
135326759894a73
14222717217c85c
15e1e0526464c0
hex6f26c5ffba62

122212321311330 has 64 divisors (see below), whose sum is σ = 325900738926720. Its totient is φ = 32589830806848.

The previous prime is 122212321311307. The next prime is 122212321311331. The reversal of 122212321311330 is 33113123212221.

122212321311330 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 2 + 321 + 3 + 1 + 1 + 330 = 666.

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 = 122212321311294 and 122212321311303.

It is not an unprimeable number, because it can be changed into a prime (122212321311331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89601144 + ... + 90954876.

It is an arithmetic number, because the mean of its divisors is an integer number (5092199045730).

Almost surely, 2122212321311330 is an apocalyptic number.

122212321311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122212321311330 is an abundant number, since it is smaller than the sum of its proper divisors (203688417615390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122212321311330 is a wasteful number, since it uses less digits than its factorization.

122212321311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688112 (or 1688106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122212321311330 its reverse (33113123212221), we get a palindrome (155325444523551).

The spelling of 122212321311330 in words is "one hundred twenty-two trillion, two hundred twelve billion, three hundred twenty-one million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 334363 668726 1003089 1353733 1671815 2006178 2707466 3009267 3343630 4061199 5015445 6018534 6768665 8122398 9027801 10030890 12183597 13537330 15046335 18055602 20305995 24367194 30092670 36550791 40611990 45139005 60917985 73101582 90278010 121835970 182753955 365507910 452638227079 905276454158 1357914681237 2263191135395 2715829362474 4073744043711 4526382270790 6789573406185 8147488087422 12221232131133 13579146812370 20368720218555 24442464262266 40737440437110 61106160655665 122212321311330