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11034125154 = 23313109144203
BaseRepresentation
bin10100100011010111…
…10110001101100010
31001110222122122011000
422101223312031202
5140044214001104
65022523332430
7540302342043
oct122153661542
931428578130
1011034125154
1147525265a8
12217b381116
13106b015150
147696348ca
15448a80639
hex291af6362

11034125154 has 64 divisors (see below), whose sum is σ = 26648899200. Its totient is φ = 3363944256.

The previous prime is 11034125149. The next prime is 11034125171. The reversal of 11034125154 is 45152143011.

11034125154 is a `hidden beast` number, since 1 + 103 + 41 + 2 + 515 + 4 = 666.

11034125154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4417 + ... + 148619.

It is an arithmetic number, because the mean of its divisors is an integer number (416389050).

Almost surely, 211034125154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034125154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324449600).

11034125154 is an abundant number, since it is smaller than the sum of its proper divisors (15614774046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11034125154 is a wasteful number, since it uses less digits than its factorization.

11034125154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144336 (or 144330 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11034125154 its reverse (45152143011), we get a palindrome (56186268165).

The spelling of 11034125154 in words is "eleven billion, thirty-four million, one hundred twenty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 109 117 218 234 327 351 654 702 981 1417 1962 2834 2943 4251 5886 8502 12753 25506 38259 76518 144203 288406 432609 865218 1297827 1874639 2595654 3749278 3893481 5623917 7786962 11247834 15718127 16871751 31436254 33743502 47154381 50615253 94308762 101230506 141463143 204335651 282926286 408671302 424389429 613006953 848778858 1226013906 1839020859 3678041718 5517062577 11034125154