Search a number
-
+
123130001104 = 24115321536131
BaseRepresentation
bin111001010101100011…
…1101011011011010000
3102202211010211010211021
41302223013223123100
54004132240013404
6132322023125224
711616163512025
oct1625307533320
9382733733737
10123130001104
11482457482a0
121ba43ba3814
13b7c37b7a26
145d60d0d54c
153309b78454
hex1cab1eb6d0

123130001104 has 80 divisors (see below), whose sum is σ = 265328892864. Its totient is φ = 54877721600.

The previous prime is 123130001047. The next prime is 123130001147. The reversal of 123130001104 is 401100031321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20080119 + ... + 20086249.

Almost surely, 2123130001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132664446432).

123130001104 is an abundant number, since it is smaller than the sum of its proper divisors (142198891760).

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

123130001104 is a wasteful number, since it uses less digits than its factorization.

123130001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123130001104 its reverse (401100031321), we get a palindrome (524230032425).

The spelling of 123130001104 in words is "one hundred twenty-three billion, one hundred thirty million, one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2153 2332 4306 4664 6131 8612 9328 12262 17224 23683 24524 34448 47366 49048 67441 94732 98096 114109 134882 189464 228218 269764 324943 378928 456436 539528 649886 912872 1079056 1255199 1299772 1825744 2510398 2599544 3574373 5020796 5199088 7148746 10041592 13200043 14297492 20083184 26400086 28594984 52800172 57189968 105600344 145200473 211200688 290400946 580801892 699602279 1161603784 1399204558 2323207568 2798409116 5596818232 7695625069 11193636464 15391250138 30782500276 61565000552 123130001104