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21020312201020 = 22511157909166943
BaseRepresentation
bin1001100011110001011000…
…01111011110011100111100
32202102112002200212122200021
410301320230033132130330
510223344044410413040
6112412333105341524
74266444634441606
oct461705417363474
982375080778607
1021020312201020
11677473426a220
122435a640378a4
13b9628c837622
14529562218176
15266bbe98724a
hex131e2c3de73c

21020312201020 has 96 divisors (see below), whose sum is σ = 48468402855936. Its totient is φ = 7594114694400.

The previous prime is 21020312200961. The next prime is 21020312201029. The reversal of 21020312201020 is 2010221302012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21020312200985 and 21020312201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020312201029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313969669 + ... + 314036611.

It is an arithmetic number, because the mean of its divisors is an integer number (504879196416).

Almost surely, 221020312201020 is an apocalyptic number.

21020312201020 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 21020312201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234201427968).

21020312201020 is an abundant number, since it is smaller than the sum of its proper divisors (27448090654916).

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

21020312201020 is a wasteful number, since it uses less digits than its factorization.

21020312201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76211 (or 76209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21020312201020 its reverse (2010221302012), we get a palindrome (23030533503032).

The spelling of 21020312201020 in words is "twenty-one trillion, twenty billion, three hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 6908 8635 9091 17270 18182 34540 36364 45455 66943 90910 100001 133886 181820 200002 267772 334715 400004 500005 669430 736373 1000010 1338860 1427287 1472746 2000020 2854574 2945492 3681865 5709148 7136435 7363730 10510051 14272870 14727460 15700157 21020102 28545740 31400314 42040204 52550255 62800628 78500785 105100510 115610561 157001570 210201020 231221122 314003140 462442244 578052805 608578813 1156105610 1217157626 2312211220 2434315252 3042894065 6085788130 6694366943 12171576260 13388733886 26777467772 33471834715 66943669430 95546873641 133887338860 191093747282 382187494564 477734368205 955468736410 1051015610051 1910937472820 2102031220102 4204062440204 5255078050255 10510156100510 21020312201020