Search a number
-
+
141130431223011 = 323116723627128201
BaseRepresentation
bin100000000101101101111101…
…001110000101010011100011
3200111200221022102000121110200
4200011231331032011103203
5121444240110343114021
61220054231451200243
741504223436115316
oct4005557516052343
9614627272017420
10141130431223011
1140a7209718751a
12139b4033a46083
136099709004bb9
1426bca6c1b097d
15114b1d6896126
hex805b7d3854e3

141130431223011 has 48 divisors (see below), whose sum is σ = 211701714352128. Its totient is φ = 90502133616000.

The previous prime is 141130431222967. The next prime is 141130431223081. The reversal of 141130431223011 is 110322134031141.

141130431223011 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 0 + 431 + 223 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 141130431223011 - 214 = 141130431206627 is a prime.

It is a super-2 number, since 2×1411304312230112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141130431223081) 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 47 ways as a sum of consecutive naturals, for example, 1100788711 + ... + 1100916911.

It is an arithmetic number, because the mean of its divisors is an integer number (4410452382336).

Almost surely, 2141130431223011 is an apocalyptic number.

141130431223011 is a deficient number, since it is larger than the sum of its proper divisors (70571283129117).

141130431223011 is a wasteful number, since it uses less digits than its factorization.

141130431223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152032 (or 152029 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 141130431223011 its reverse (110322134031141), we get a palindrome (251452565254152).

The spelling of 141130431223011 in words is "one hundred forty-one trillion, one hundred thirty billion, four hundred thirty-one million, two hundred twenty-three thousand, eleven".

Divisors: 1 3 9 31 93 167 279 501 1503 5177 15531 23627 46593 70881 128201 212643 384603 732437 1153809 2197311 3945709 3974231 6591933 11837127 11922693 21409567 35511381 35768079 64228701 122316979 192686103 366950937 663696577 1100852811 1991089731 3029005027 5973269193 9087015081 27261045243 93899155837 281697467511 505843839509 845092402533 1517531518527 4552594555581 15681159024779 47043477074337 141130431223011