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21023232313300 = 22527313472791967
BaseRepresentation
bin1001100011110110110100…
…10010110100011111010100
32202102210122012120201122221
410301323122102310133110
510223421034433011200
6112413534541432124
74266610203126520
oct461733222643724
982383565521587
1021023232313300
1167759a2625858
122436539b6b644
13b966367ca909
1452975bd86d80
15266ce0eea91a
hex131eda4b47d4

21023232313300 has 144 divisors (see below), whose sum is σ = 53974593404928. Its totient is φ = 6955345699200.

The previous prime is 21023232313277. The next prime is 21023232313327. The reversal of 21023232313300 is 331323232012.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6133917 + ... + 8925883.

It is an arithmetic number, because the mean of its divisors is an integer number (374823565312).

Almost surely, 221023232313300 is an apocalyptic number.

21023232313300 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 21023232313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26987296702464).

21023232313300 is an abundant number, since it is smaller than the sum of its proper divisors (32951361091628).

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

21023232313300 is a wasteful number, since it uses less digits than its factorization.

21023232313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792366 (or 2792359 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 21023232313300 its reverse (331323232012), we get a palindrome (21354555545312).

The spelling of 21023232313300 in words is "twenty-one trillion, twenty-three billion, two hundred thirty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 347 350 434 620 694 700 775 868 1085 1388 1550 1735 2170 2429 3100 3470 4340 4858 5425 6940 8675 9716 10757 10850 12145 17350 21514 21700 24290 34700 43028 48580 53785 60725 75299 107570 121450 150598 215140 242900 268925 301196 376495 537850 752990 1075700 1505980 1882475 2791967 3764950 5583934 7529900 11167868 13959835 19543769 27919670 39087538 55839340 69799175 78175076 86550977 97718845 139598350 173101954 195437690 279196700 346203908 390875380 432754885 488594225 605856839 865509770 968812549 977188450 1211713678 1731019540 1937625098 1954376900 2163774425 2423427356 3029284195 3875250196 4327548850 4844062745 6058568390 6781687843 8655097700 9688125490 12117136780 13563375686 15146420975 19376250980 24220313725 27126751372 30033189019 30292841950 33908439215 48440627450 60066378038 60585683900 67816878430 96881254900 120132756076 135633756860 150165945095 169542196075 210232323133 300331890190 339084392150 420464646266 600663780380 678168784300 750829725475 840929292532 1051161615665 1501659450950 2102323231330 3003318901900 4204646462660 5255808078325 10511616156650 21023232313300