Search a number
-
+
10133040100 = 22521913034093
BaseRepresentation
bin10010110111111100…
…11110101111100100
3222011012002202211111
421123332132233210
5131223024240400
64353254114404
7506051263651
oct113376365744
928135082744
1010133040100
11432a923007
121b6964ba04
13c5642b921
146c1ab4c28
153e48dc3ba
hex25bf9ebe4

10133040100 has 72 divisors (see below), whose sum is σ = 23169419840. Its totient is φ = 3836004480.

The previous prime is 10133040089. The next prime is 10133040109. The reversal of 10133040100 is 104033101.

It is not an unprimeable number, because it can be changed into a prime (10133040109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2473654 + ... + 2477746.

Almost surely, 210133040100 is an apocalyptic number.

10133040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584709920).

10133040100 is an abundant number, since it is smaller than the sum of its proper divisors (13036379740).

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

10133040100 is a wasteful number, since it uses less digits than its factorization.

10133040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10133040100 its reverse (104033101), we get a palindrome (10237073201).

The spelling of 10133040100 in words is "ten billion, one hundred thirty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1303 1900 2606 4093 5212 6515 8186 13030 16372 20465 24757 26060 32575 40930 49514 65150 77767 81860 99028 102325 123785 130300 155534 204650 247570 311068 388835 409300 495140 618925 777670 1237850 1555340 1944175 2475700 3888350 5333179 7776700 10666358 21332716 26665895 53331790 101330401 106663580 133329475 202660802 266658950 405321604 506652005 533317900 1013304010 2026608020 2533260025 5066520050 10133040100