Search a number
-
+
1119111584129 = 72111927378787
BaseRepresentation
bin10000010010010000001…
…111111001100110000001
310221222121210212211111222
4100102100033321212001
5121313420031143004
62214040205044425
7143565425340500
oct20222017714601
93858553784458
101119111584129
113a1681350020
12160a84256715
13816bb3b4136
143c2457aa837
151e19d72c7be
hex104903f9981

1119111584129 has 72 divisors (see below), whose sum is σ = 1519402628448. Its totient is φ = 814811114880.

The previous prime is 1119111584047. The next prime is 1119111584153. The reversal of 1119111584129 is 9214851119111.

It is not a de Polignac number, because 1119111584129 - 220 = 1119110535553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1119111584129.

It is not an unprimeable number, because it can be changed into a prime (1119111584189) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14164874 + ... + 14243660.

It is an arithmetic number, because the mean of its divisors is an integer number (21102814284).

Almost surely, 21119111584129 is an apocalyptic number.

1119111584129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1119111584129 is a deficient number, since it is larger than the sum of its proper divisors (400291044319).

1119111584129 is a wasteful number, since it uses less digits than its factorization.

1119111584129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78923 (or 78897 counting only the distinct ones).

The product of its digits is 25920, while the sum is 44.

The spelling of 1119111584129 in words is "one trillion, one hundred nineteen billion, one hundred eleven million, five hundred eighty-four thousand, one hundred twenty-nine".

Divisors: 1 7 11 19 49 73 77 133 209 361 511 539 803 931 1387 1463 2527 3577 3971 5621 9709 10241 15257 17689 26353 27797 39347 67963 78787 106799 184471 194579 289883 551509 747593 866657 1291297 1496953 2029181 3860563 5751451 6066599 10478671 14204267 16466483 28442107 40260157 42466193 63265961 73350697 109277569 115265381 199094749 281821099 312863177 442861727 764942983 806857667 1202053259 1393663243 2076273811 2190042239 3100032089 5354600881 8414372813 14533916677 15330295673 22839011921 58900609691 101737416739 159873083447 1119111584129