Search a number
-
+
122210111112200 = 2352797734817159
BaseRepresentation
bin11011110010011001000010…
…010000101100010000001000
3121000201011122202202021210222
4123302121002100230100020
5112004242301421042300
61111530314444125212
734512250323524366
oct3362310220542010
9530634582667728
10122210111112200
1135a38020791471
121185917ab36808
135326496a02027
142227002808636
15e1de735b2785
hex6f264242c408

122210111112200 has 48 divisors (see below), whose sum is σ = 287735198352000. Its totient is φ = 48265259065920.

The previous prime is 122210111112169. The next prime is 122210111112217. The reversal of 122210111112200 is 2211111012221.

It is a super-3 number, since 3×1222101111122003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3867392780 + ... + 3867424379.

It is an arithmetic number, because the mean of its divisors is an integer number (5994483299000).

Almost surely, 2122210111112200 is an apocalyptic number.

122210111112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210111112200 is an abundant number, since it is smaller than the sum of its proper divisors (165525087239800).

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

122210111112200 is a wasteful number, since it uses less digits than its factorization.

122210111112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734817254 (or 7734817245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122210111112200 its reverse (2211111012221), we get a palindrome (124421222124421).

The spelling of 122210111112200 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 7734817159 15469634318 30939268636 38674085795 61878537272 77348171590 154696343180 193370428975 309392686360 386740857950 611050555561 773481715900 1222101111122 1546963431800 2444202222244 3055252777805 4888404444488 6110505555610 12221011111220 15276263889025 24442022222440 30552527778050 61105055556100 122210111112200