Search a number
-
+
22142214123141 = 375931357095963
BaseRepresentation
bin1010000100011011000101…
…10011101010111010000101
32220101202220222021100022210
411002031202303222322011
510400234223303420031
6115031554233214033
74443502464436530
oct502154263527205
986352828240283
1022142214123141
1170675076984a2
122597386861319
13c48004044c18
14567990411a17
15285e83141746
hex142362ceae85

22142214123141 has 32 divisors (see below), whose sum is σ = 34422014776320. Its totient is φ = 12398502340224.

The previous prime is 22142214123131. The next prime is 22142214123187. The reversal of 22142214123141 is 14132141224122.

It is a happy number.

It is not a de Polignac number, because 22142214123141 - 25 = 22142214123109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22142214123099 and 22142214123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142214123131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28160175 + ... + 28935788.

It is an arithmetic number, because the mean of its divisors is an integer number (1075687961760).

Almost surely, 222142214123141 is an apocalyptic number.

22142214123141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22142214123141 is a deficient number, since it is larger than the sum of its proper divisors (12279800653179).

22142214123141 is a wasteful number, since it uses less digits than its factorization.

22142214123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57096345.

The product of its digits is 6144, while the sum is 30.

Adding to 22142214123141 its reverse (14132141224122), we get a palindrome (36274355347263).

The spelling of 22142214123141 in words is "twenty-two trillion, one hundred forty-two billion, two hundred fourteen million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 7 21 59 177 313 413 939 1239 2191 6573 18467 55401 129269 387807 57095963 171287889 399671741 1199015223 3368661817 10105985451 17871036419 23580632719 53613109257 70741898157 125097254933 375291764799 1054391148721 3163173446163 7380738041047 22142214123141