Search a number
-
+
12202222102101 = 3222934093144461
BaseRepresentation
bin1011000110010000110100…
…0111010010011001010101
31121012112001211122021022200
42301210031013102121111
53044410122324231401
641541342355315113
72366403303351213
oct261441507223125
947175054567280
1012202222102101
113984a2a2a1219
121450a575aba99
136a68841ab575
1430283ac51cb3
1516261b4ca686
hexb190d1d2655

12202222102101 has 24 divisors (see below), whose sum is σ = 17637548757816. Its totient is φ = 8129224160640.

The previous prime is 12202222102039. The next prime is 12202222102123. The reversal of 12202222102101 is 10120122220221.

It is a happy number.

12202222102101 is a `hidden beast` number, since 1 + 2 + 20 + 222 + 210 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1446249165201 + 10755972936900 = 1202601^2 + 3279630^2 .

It is not a de Polignac number, because 12202222102101 - 219 = 12202221577813 is a prime.

It is a super-2 number, since 2×122022221021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202222109101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84395011 + ... + 84539471.

It is an arithmetic number, because the mean of its divisors is an integer number (734897864909).

Almost surely, 212202222102101 is an apocalyptic number.

It is an amenable number.

12202222102101 is a deficient number, since it is larger than the sum of its proper divisors (5435326655715).

12202222102101 is a wasteful number, since it uses less digits than its factorization.

12202222102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150853 (or 150850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202222102101 its reverse (10120122220221), we get a palindrome (22322344322322).

The spelling of 12202222102101 in words is "twelve trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 2293 4093 6879 12279 20637 36837 144461 433383 1300149 9385249 28155747 84467241 331249073 591278873 993747219 1773836619 2981241657 5321509857 1355802455789 4067407367367 12202222102101