Search a number
-
+
12100122112203 = 3289157271355049
BaseRepresentation
bin1011000000010100011101…
…1110101111000011001011
31120211202112022111101111100
42300011013132233003023
53041222022230042303
641422415214232443
72356130206640166
oct260050736570313
946752468441440
1012100122112203
1139456a6534684
1214351024b5723
1369a0625b5768
142db912d48add
1515eb42c2b8a3
hexb01477af0cb

12100122112203 has 48 divisors (see below), whose sum is σ = 17852595696000. Its totient is φ = 7896040289280.

The previous prime is 12100122112189. The next prime is 12100122112217. The reversal of 12100122112203 is 30221122100121.

12100122112203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12100122112189) and next prime (12100122112217).

It is not a de Polignac number, because 12100122112203 - 26 = 12100122112139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100122112223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33902623 + ... + 34257671.

It is an arithmetic number, because the mean of its divisors is an integer number (371929077000).

Almost surely, 212100122112203 is an apocalyptic number.

12100122112203 is a deficient number, since it is larger than the sum of its proper divisors (5752473583797).

12100122112203 is a wasteful number, since it uses less digits than its factorization.

12100122112203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355572 (or 355569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12100122112203 its reverse (30221122100121), we get a palindrome (42321244212324).

The spelling of 12100122112203 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, two hundred three".

Divisors: 1 3 9 89 157 267 271 471 801 813 1413 2439 13973 24119 41919 42547 72357 125757 127641 217071 355049 382923 1065147 3195441 3786683 11360049 31599361 34080147 55742693 94798083 96218279 167228079 284394249 288654837 501684237 865964511 4961099677 8563426831 14883299031 15106269803 25690280493 44649897093 45318809409 77070841479 135956428227 1344458012467 4033374037401 12100122112203