Search a number
-
+
12051011142 = 2331014614793
BaseRepresentation
bin10110011100100101…
…11101011001000110
31011002212002210111000
423032102331121012
5144140024324032
65311450554130
7604430622162
oct131622753106
934085083430
1012051011142
115124533045
122403a38946
1311a08b5231
148246d9ca2
154a7e99e7c
hex2ce4bd646

12051011142 has 64 divisors (see below), whose sum is σ = 27109494720. Its totient is φ = 3967776000.

The previous prime is 12051011131. The next prime is 12051011179. The reversal of 12051011142 is 24111015021.

12051011142 is a `hidden beast` number, since 1 + 2 + 0 + 510 + 11 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2511898 + ... + 2516690.

It is an arithmetic number, because the mean of its divisors is an integer number (423585855).

Almost surely, 212051011142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051011142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554747360).

12051011142 is an abundant number, since it is smaller than the sum of its proper divisors (15058483578).

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

12051011142 is a wasteful number, since it uses less digits than its factorization.

12051011142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12051011142 its reverse (24111015021), we get a palindrome (36162026163).

The spelling of 12051011142 in words is "twelve billion, fifty-one million, eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 461 606 909 922 1383 1818 2727 2766 4149 4793 5454 8298 9586 12447 14379 24894 28758 43137 46561 86274 93122 129411 139683 258822 279366 419049 484093 838098 968186 1257147 1452279 2209573 2514294 2904558 4356837 4419146 6628719 8713674 13070511 13257438 19886157 26141022 39772314 59658471 119316942 223166873 446333746 669500619 1339001238 2008501857 4017003714 6025505571 12051011142