Search a number
-
+
11434411131 = 31113297431237
BaseRepresentation
bin10101010011000101…
…10100010001111011
31002111212212021021120
422221202310101323
5141404202124011
65130343040323
7553232614413
oct125142642173
932455767246
1011434411131
114938477360
1222714400a3
131102c26960
147a6871643
1546dc9da06
hex2a98b447b

11434411131 has 64 divisors (see below), whose sum is σ = 18568811520. Its totient is φ = 6162992640.

The previous prime is 11434411117. The next prime is 11434411133. The reversal of 11434411131 is 13111443411.

11434411131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11434411131 - 214 = 11434394747 is a prime.

It is a super-2 number, since 2×114344111312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11434411133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9243045 + ... + 9244281.

It is an arithmetic number, because the mean of its divisors is an integer number (290137680).

Almost surely, 211434411131 is an apocalyptic number.

11434411131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11434411131 is a deficient number, since it is larger than the sum of its proper divisors (7134400389).

11434411131 is a wasteful number, since it uses less digits than its factorization.

11434411131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its digits is 576, while the sum is 24.

Adding to 11434411131 its reverse (13111443411), we get a palindrome (24545854542).

The spelling of 11434411131 in words is "eleven billion, four hundred thirty-four million, four hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 743 957 1131 1237 2229 3711 4147 8173 9659 12441 13607 16081 21547 24519 28977 35873 40821 48243 64641 106249 107619 176891 237017 280111 318747 394603 466349 530673 711051 840333 919091 1183809 1399047 2757273 3081221 5129839 9243663 10110001 11948183 15389517 26653639 30330003 35844549 79960917 131430013 293190029 346497307 394290039 879570087 1039491921 3811470377 11434411131