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23024324100 = 22352732294591
BaseRepresentation
bin10101011100010110…
…110100111000000100
32012102121022211222110
4111130112310320010
5334123211332400
614324403101020
71443364345221
oct253426647004
965377284873
1023024324100
1198456a3528
124566971770
13222c12781b
141185c20948
158eb516e50
hex55c5b4e04

23024324100 has 144 divisors (see below), whose sum is σ = 67839269120. Its totient is φ = 6027955200.

The previous prime is 23024324083. The next prime is 23024324101. The reversal of 23024324100 is 142342032.

It is not an unprimeable number, because it can be changed into a prime (23024324101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5012805 + ... + 5017395.

Almost surely, 223024324100 is an apocalyptic number.

23024324100 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 23024324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33919634560).

23024324100 is an abundant number, since it is smaller than the sum of its proper divisors (44814945020).

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

23024324100 is a wasteful number, since it uses less digits than its factorization.

23024324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23024324100 its reverse (142342032), we get a palindrome (23166666132).

The spelling of 23024324100 in words is "twenty-three billion, twenty-four million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 229 292 300 365 438 458 687 730 876 916 1095 1145 1374 1460 1825 2190 2290 2748 3435 3650 4380 4580 4591 5475 5725 6870 7300 9182 10950 11450 13740 13773 16717 17175 18364 21900 22900 22955 27546 33434 34350 45910 50151 55092 66868 68700 68865 83585 91820 100302 114775 137730 167170 200604 229550 250755 275460 334340 335143 344325 417925 459100 501510 670286 688650 835850 1003020 1005429 1051339 1253775 1340572 1377300 1671700 1675715 2010858 2102678 2507550 3154017 3351430 4021716 4205356 5015100 5027145 5256695 6308034 6702860 8378575 10054290 10513390 12616068 15770085 16757150 20108580 21026780 25135725 26283475 31540170 33514300 50271450 52566950 63080340 76747747 78850425 100542900 105133900 153495494 157700850 230243241 306990988 315401700 383738735 460486482 767477470 920972964 1151216205 1534954940 1918693675 2302432410 3837387350 4604864820 5756081025 7674774700 11512162050 23024324100