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21020311320210 = 23252292394267399
BaseRepresentation
bin1001100011110001011000…
…01100000111011010010010
32202102112002122012220102200
410301320230030013122102
510223344044144221320
6112412333034424030
74266444624112626
oct461705414073222
982375078186380
1021020311320210
116774733818484
122435a63892016
13b9628c5b9737
14529562069186
15266bbe861290
hex131e2c307692

21020311320210 has 96 divisors (see below), whose sum is σ = 55121152320000. Its totient is φ = 5557586041728.

The previous prime is 21020311320181. The next prime is 21020311320221. The reversal of 21020311320210 is 1202311302012.

21020311320210 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 311 + 320 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2792091 + ... + 7059489.

It is an arithmetic number, because the mean of its divisors is an integer number (574178670000).

Almost surely, 221020311320210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020311320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560576160000).

21020311320210 is an abundant number, since it is smaller than the sum of its proper divisors (34100840999790).

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

21020311320210 is a wasteful number, since it uses less digits than its factorization.

21020311320210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267880 (or 4267877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21020311320210 its reverse (1202311302012), we get a palindrome (22222622622222).

The spelling of 21020311320210 in words is "twenty-one trillion, twenty billion, three hundred eleven million, three hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 239 458 478 687 717 1145 1195 1374 1434 2061 2151 2290 2390 3435 3585 4122 4302 6870 7170 10305 10755 20610 21510 54731 109462 164193 273655 328386 492579 547310 820965 985158 1641930 2462895 4267399 4925790 8534798 12802197 21336995 25604394 38406591 42673990 64010985 76813182 128021970 192032955 384065910 977234371 1019908361 1954468742 2039816722 2931703113 3059725083 4886171855 5099541805 5863406226 6119450166 8795109339 9179175249 9772343710 10199083610 14658515565 15298625415 17590218678 18358350498 29317031130 30597250830 43975546695 45895876245 87951093390 91791752490 233559014669 467118029338 700677044007 1167795073345 1401354088014 2102031132021 2335590146690 3503385220035 4204062264042 7006770440070 10510155660105 21020311320210