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12133144002 = 2373110878573
BaseRepresentation
bin10110100110011000…
…10001010111000010
31011022120122120120210
423103030101113002
5144322041102002
65323543214550
7606446010450
oct132314212702
934276576523
1012133144002
115166930741
122427447456
1311b4911365
148315999d0
154b02c096c
hex2d33115c2

12133144002 has 64 divisors (see below), whose sum is σ = 28657188864. Its totient is φ = 3351309120.

The previous prime is 12133143973. The next prime is 12133144057. The reversal of 12133144002 is 20044133121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12133144002.

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, 1410988 + ... + 1419560.

It is an arithmetic number, because the mean of its divisors is an integer number (447768576).

Almost surely, 212133144002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133144002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328594432).

12133144002 is an abundant number, since it is smaller than the sum of its proper divisors (16524044862).

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

12133144002 is a wasteful number, since it uses less digits than its factorization.

12133144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12133144002 its reverse (20044133121), we get a palindrome (32177277123).

The spelling of 12133144002 in words is "twelve billion, one hundred thirty-three million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1087 1302 2174 3261 6522 7609 8573 15218 17146 22827 25719 33697 45654 51438 60011 67394 101091 120022 180033 202182 235879 265763 360066 471758 531526 707637 797289 1415274 1594578 1860341 3720682 5581023 9318851 11162046 18637702 27956553 55913106 65231957 130463914 195695871 288884381 391391742 577768762 866653143 1733306286 2022190667 4044381334 6066572001 12133144002