Search a number
-
+
212144341442131 = 7193207749726291
BaseRepresentation
bin110000001111000110110100…
…000111001101111001010011
31000211010210121220121011010001
4300033012310013031321103
5210301233102402122011
62031105433125350431
762453631355335160
oct6017066407157123
91024123556534101
10212144341442131
1161660a01174a9a
121b962bb2868417
13914b182b10007
143a55bab665067
15197d563dee7c1
hexc0f1b41cde53

212144341442131 has 16 divisors (see below), whose sum is σ = 255219199164160. Its totient is φ = 172262211628320.

The previous prime is 212144341442107. The next prime is 212144341442153. The reversal of 212144341442131 is 131244143441212.

212144341442131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212144341442131 - 219 = 212144340917843 is a prime.

It is a super-2 number, since 2×2121443414421312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212144341412131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20596905 + ... + 29129386.

It is an arithmetic number, because the mean of its divisors is an integer number (15951199947760).

Almost surely, 2212144341442131 is an apocalyptic number.

212144341442131 is a deficient number, since it is larger than the sum of its proper divisors (43074857722029).

212144341442131 is a wasteful number, since it uses less digits than its factorization.

212144341442131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49758394.

The product of its digits is 73728, while the sum is 37.

Adding to 212144341442131 its reverse (131244143441212), we get a palindrome (343388484883343).

The spelling of 212144341442131 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred forty-one million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 7 19 133 32077 224539 609463 4266241 49726291 348084037 944799529 6613596703 1595070236407 11165491654849 30306334491733 212144341442131