Search a number
-
+
12212311114100 = 22522412887175523
BaseRepresentation
bin1011000110110110011001…
…1101110100000101110100
31121020111002221220011221202
42301231212131310011310
53100041303121122400
641550131442032032
72400211311502316
oct261554635640564
947214087804852
1012212311114100
113989237282269
1214529b2348618
136a7801463056
14303116b457b6
15162a0c0bc4d5
hexb1b66774174

12212311114100 has 72 divisors (see below), whose sum is σ = 26620045666368. Its totient is φ = 4862942323200.

The previous prime is 12212311114099. The next prime is 12212311114103. The reversal of 12212311114100 is 141111321221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212311114103) 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 23 ways as a sum of consecutive naturals, for example, 69488939 + ... + 69664461.

Almost surely, 212212311114100 is an apocalyptic number.

12212311114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212311114100 is an abundant number, since it is smaller than the sum of its proper divisors (14407734552268).

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

12212311114100 is a wasteful number, since it uses less digits than its factorization.

12212311114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178665 (or 178658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12212311114100 its reverse (141111321221), we get a palindrome (12353422435321).

The spelling of 12212311114100 in words is "twelve trillion, two hundred twelve billion, three hundred eleven million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 2887 4820 5774 6025 11548 12050 14435 24100 28870 57740 72175 144350 175523 288700 351046 695767 702092 877615 1391534 1755230 2783068 3478835 3510460 4388075 6957670 8776150 13915340 17394175 17552300 34788350 42301043 69576700 84602086 169204172 211505215 423010430 506734901 846020860 1013469802 1057526075 2026939604 2115052150 2533674505 4230104300 5067349010 10134698020 12668372525 25336745050 50673490100 122123111141 244246222282 488492444564 610615555705 1221231111410 2442462222820 3053077778525 6106155557050 12212311114100