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23132120200 = 2352799116673
BaseRepresentation
bin10101100010110010…
…000010010010001000
32012201010011110102121
4111202302002102020
5334333310321300
614343213341024
71446143530450
oct254262022210
965633143377
1023132120200
1198a052a312
124596a97774
13224856a9b7
141196280d60
15905c0b81a
hex562c82488

23132120200 has 96 divisors (see below), whose sum is σ = 61531061760. Its totient is φ = 7922534400.

The previous prime is 23132120197. The next prime is 23132120203. The reversal of 23132120200 is 202123132.

It is an interprime number because it is at equal distance from previous prime (23132120197) and next prime (23132120203).

It is not an unprimeable number, because it can be changed into a prime (23132120203) 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, 1379064 + ... + 1395736.

It is an arithmetic number, because the mean of its divisors is an integer number (640948560).

Almost surely, 223132120200 is an apocalyptic number.

23132120200 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 23132120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30765530880).

23132120200 is an abundant number, since it is smaller than the sum of its proper divisors (38398941560).

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

23132120200 is a wasteful number, since it uses less digits than its factorization.

23132120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23132120200 its reverse (202123132), we get a palindrome (23334243332).

The spelling of 23132120200 in words is "twenty-three billion, one hundred thirty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 991 1400 1982 3964 4955 6937 7928 9910 13874 16673 19820 24775 27748 33346 34685 39640 49550 55496 66692 69370 83365 99100 116711 133384 138740 166730 173425 198200 233422 277480 333460 346850 416825 466844 583555 666920 693700 833650 933688 1167110 1387400 1667300 2334220 2917775 3334600 4668440 5835550 11671100 16522943 23342200 33045886 66091772 82614715 115660601 132183544 165229430 231321202 330458860 413073575 462642404 578303005 660917720 826147150 925284808 1156606010 1652294300 2313212020 2891515025 3304588600 4626424040 5783030050 11566060100 23132120200