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21222102010020 = 22351038209418321
BaseRepresentation
bin1001101001101001001111…
…10110100000100010100100
32210010210221210000001112220
410310310213312200202210
510240200331103310040
6113045144333312340
74320150320506632
oct464644766404244
983123853001486
1021222102010020
11684227436440a
122468b9b0356b0
13bac30a8b9082
14535225cbc352
1526c0801002d0
hex134d27da08a4

21222102010020 has 96 divisors (see below), whose sum is σ = 60006249488640. Its totient is φ = 5603587153920.

The previous prime is 21222102010001. The next prime is 21222102010051. The reversal of 21222102010020 is 2001020122212.

It is a super-2 number, since 2×212221020100202 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50522460 + ... + 50940780.

It is an arithmetic number, because the mean of its divisors is an integer number (625065098840).

Almost surely, 221222102010020 is an apocalyptic number.

21222102010020 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 21222102010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30003124744320).

21222102010020 is an abundant number, since it is smaller than the sum of its proper divisors (38784147478620).

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

21222102010020 is a wasteful number, since it uses less digits than its factorization.

21222102010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426645 (or 426643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222102010020 its reverse (2001020122212), we get a palindrome (23223122132232).

The spelling of 21222102010020 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 8209 16418 24627 32836 41045 49254 82090 98508 123135 164180 246270 418321 492540 836642 845527 1254963 1673284 1691054 2091605 2509926 2536581 3382108 4183210 4227635 5019852 5073162 6274815 8366420 8455270 10146324 12549630 12682905 16910540 25099260 25365810 43087063 50731620 86174126 129261189 172348252 215435315 258522378 430870630 517044756 646305945 861741260 1292611890 2585223780 3433997089 6867994178 10301991267 13735988356 17169985445 20603982534 34339970890 41207965068 51509956335 68679941780 103019912670 206039825340 353701700167 707403400334 1061105100501 1414806800668 1768508500835 2122210201002 3537017001670 4244420402004 5305525502505 7074034003340 10611051005010 21222102010020