Search a number
-
+
12121000202101 = 723751761131731
BaseRepresentation
bin1011000001100010001111…
…1010010100111101110101
31120220202102100022020122011
42300120203322110331311
53042042302022431401
641440151032204221
72360466453530020
oct260304372247565
946822370266564
1012121000202101
11395353a69062a
12143916a539671
1369c00bb850cb
142dc933ac61b7
15160465ae7451
hexb0623e94f75

12121000202101 has 32 divisors (see below), whose sum is σ = 14493234733056. Its totient is φ = 9911365200000.

The previous prime is 12121000202093. The next prime is 12121000202131. The reversal of 12121000202101 is 10120200012121.

It is a cyclic number.

It is not a de Polignac number, because 12121000202101 - 23 = 12121000202093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121000202131) 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 31 ways as a sum of consecutive naturals, for example, 91947406 + ... + 92079136.

It is an arithmetic number, because the mean of its divisors is an integer number (452913585408).

Almost surely, 212121000202101 is an apocalyptic number.

It is an amenable number.

12121000202101 is a deficient number, since it is larger than the sum of its proper divisors (2372234530955).

12121000202101 is a wasteful number, since it uses less digits than its factorization.

12121000202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133273.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121000202101 its reverse (10120200012121), we get a palindrome (22241200214222).

The spelling of 12121000202101 in words is "twelve trillion, one hundred twenty-one billion, two hundred two thousand, one hundred one".

Divisors: 1 7 23 161 751 761 5257 5327 17273 17503 120911 122521 131731 571511 922117 3029813 4000577 13144753 21208691 92013271 98929981 100247291 692509867 701731037 2275389563 2305687693 15927726941 16139813851 75285715541 527000008787 1731571457443 12121000202101