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23201231100 = 223521737122953
BaseRepresentation
bin10101100110111001…
…101011000011111100
32012212221012122202120
4111212321223003330
5340004003343400
614354122522540
71450643132115
oct254671530374
965787178676
1023201231100
119926543363
1245b6066450
132259987918
1411a151120c
1590bd0dca0
hex566e6b0fc

23201231100 has 144 divisors (see below), whose sum is σ = 72999265248. Its totient is φ = 5665628160.

The previous prime is 23201231069. The next prime is 23201231101. The reversal of 23201231100 is 113210232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23201231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201231101) 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, 127224 + ... + 250176.

It is an arithmetic number, because the mean of its divisors is an integer number (506939342).

Almost surely, 223201231100 is an apocalyptic number.

23201231100 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 23201231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36499632624).

23201231100 is an abundant number, since it is smaller than the sum of its proper divisors (49798034148).

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

23201231100 is a wasteful number, since it uses less digits than its factorization.

23201231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123024 (or 123017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23201231100 its reverse (113210232), we get a palindrome (23314441332).

The spelling of 23201231100 in words is "twenty-three billion, two hundred one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1700 1850 1887 2220 2516 2550 2775 3145 3700 3774 5100 5550 6290 7548 9435 11100 12580 15725 18870 31450 37740 47175 62900 94350 122953 188700 245906 368859 491812 614765 737718 1229530 1475436 1844295 2090201 2459060 3073825 3688590 4180402 4549261 6147650 6270603 7377180 8360804 9098522 9221475 10451005 12295300 12541206 13647783 18197044 18442950 20902010 22746305 25082412 27295566 31353015 36885900 41804020 45492610 52255025 54591132 62706030 68238915 77337437 90985220 104510050 113731525 125412060 136477830 154674874 156765075 209020100 227463050 232012311 272955660 309349748 313530150 341194575 386687185 454926100 464024622 627060300 682389150 773374370 928049244 1160061555 1364778300 1546748740 1933435925 2320123110 3866871850 4640246220 5800307775 7733743700 11600615550 23201231100