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21323124200 = 2352724153069
BaseRepresentation
bin10011110110111101…
…010000110111101000
32001001001012221102202
4103312331100313220
5322132204433300
613443512315332
71353256364600
oct236675206750
961031187382
1021323124200
1190523908a4
1241710a2b48
13201a84b071
141063d05c00
1584bec7ad5
hex4f6f50de8

21323124200 has 144 divisors (see below), whose sum is σ = 59078054700. Its totient is φ = 7132339200.

The previous prime is 21323124197. The next prime is 21323124209. The reversal of 21323124200 is 242132312.

It can be written as a sum of positive squares in 6 ways, for example, as 8801066596 + 12522057604 = 93814^2 + 111902^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21323124209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375266 + ... + 428334.

Almost surely, 221323124200 is an apocalyptic number.

21323124200 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 21323124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29539027350).

21323124200 is an abundant number, since it is smaller than the sum of its proper divisors (37754930500).

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

21323124200 is a wasteful number, since it uses less digits than its factorization.

21323124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53140 (or 53124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21323124200 its reverse (242132312), we get a palindrome (21565256512).

The spelling of 21323124200 in words is "twenty-one billion, three hundred twenty-three million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 49 50 56 70 82 98 100 140 164 175 196 200 205 245 280 287 328 350 392 410 490 574 700 820 980 1025 1148 1225 1400 1435 1640 1960 2009 2050 2296 2450 2870 4018 4100 4900 5740 7175 8036 8200 9800 10045 11480 14350 16072 20090 28700 40180 50225 53069 57400 80360 100450 106138 200900 212276 265345 371483 401800 424552 530690 742966 1061380 1326725 1485932 1857415 2122760 2175829 2600381 2653450 2971864 3714830 4351658 5200762 5306900 7429660 8703316 9287075 10401524 10613800 10879145 13001905 14859320 15230803 17406632 18574150 20803048 21758290 26003810 30461606 37148300 43516580 52007620 54395725 60923212 65009525 74296600 76154015 87033160 104015240 106615621 108791450 121846424 130019050 152308030 213231242 217582900 260038100 304616060 380770075 426462484 435165800 520076200 533078105 609232120 761540150 852924968 1066156210 1523080300 2132312420 2665390525 3046160600 4264624840 5330781050 10661562100 21323124200