Search a number
-
+
24301012100 = 22521735714003
BaseRepresentation
bin10110101000011101…
…000000010010000100
32022201120122022200012
4112220131000102010
5344232024341400
615055211005352
71520126123531
oct265035002204
968646568605
1024301012100
11a340319082
124862439858
1323a378ca01
1412675d3d88
1597364ed35
hex5a8740484

24301012100 has 72 divisors (see below), whose sum is σ = 55864736928. Its totient is φ = 9143769600.

The previous prime is 24301012061. The next prime is 24301012111. The reversal of 24301012100 is 121010342.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6068699 + ... + 6072701.

It is an arithmetic number, because the mean of its divisors is an integer number (775899124).

Almost surely, 224301012100 is an apocalyptic number.

24301012100 is a gapful number since it is divisible by the number (20) 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 24301012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27932368464).

24301012100 is an abundant number, since it is smaller than the sum of its proper divisors (31563724828).

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

24301012100 is a wasteful number, since it uses less digits than its factorization.

24301012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 24301012100 its reverse (121010342), we get a palindrome (24422022442).

The spelling of 24301012100 in words is "twenty-four billion, three hundred one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3571 4003 7142 8006 14284 16012 17855 20015 35710 40030 60707 68051 71420 80060 89275 100075 121414 136102 178550 200150 242828 272204 303535 340255 357100 400300 607070 680510 1214140 1361020 1517675 1701275 3035350 3402550 6070700 6805100 14294713 28589426 57178852 71473565 142947130 243010121 285894260 357367825 486020242 714735650 972040484 1215050605 1429471300 2430101210 4860202420 6075253025 12150506050 24301012100