Search a number
-
+
2021220012020 = 22511214912294561
BaseRepresentation
bin11101011010011010000…
…110011100111111110100
321011020010022001011002012
4131122122012130333310
5231103424310341040
64144311411303352
7266012500426226
oct35323206347764
97136108034065
102021220012020
1170a216004a00
122878865aab58
131187a591c1c1
146db82bd4416
153789add8865
hex1d69a19cff4

2021220012020 has 144 divisors (see below), whose sum is σ = 4701674754000. Its totient is φ = 729302323200.

The previous prime is 2021220012001. The next prime is 2021220012073. The reversal of 2021220012020 is 202100221202.

It can be written as a sum of positive squares in 8 ways, for example, as 2848570384 + 2018371441636 = 53372^2 + 1420694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2021220011986 and 2021220012004.

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, 443150540 + ... + 443155100.

It is an arithmetic number, because the mean of its divisors is an integer number (32650519125).

Almost surely, 22021220012020 is an apocalyptic number.

2021220012020 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 2021220012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350837377000).

2021220012020 is an abundant number, since it is smaller than the sum of its proper divisors (2680454741980).

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

2021220012020 is a wasteful number, since it uses less digits than its factorization.

2021220012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2021220012020 its reverse (202100221202), we get a palindrome (2223320233222).

The spelling of 2021220012020 in words is "two trillion, twenty-one billion, two hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 149 220 242 298 484 596 605 745 1210 1229 1490 1639 2420 2458 2980 3278 4561 4916 6145 6556 8195 9122 12290 13519 16390 18029 18244 22805 24580 27038 32780 36058 45610 50171 54076 67595 72116 90145 91220 100342 135190 148709 180290 183121 200684 250855 270380 297418 360580 366242 501710 551881 594836 679589 732484 743545 915605 1003420 1103762 1359178 1487090 1831210 2014331 2207524 2718356 2759405 2974180 3397945 3662420 4028662 5518810 5605469 6795890 7475479 8057324 10071655 11037620 11210938 13591780 14950958 20143310 22157641 22421876 28027345 29901916 37377395 40286620 44315282 56054690 61660159 74754790 82230269 88630564 110788205 112109380 123320318 149509580 164460538 221576410 246640636 308300795 328921076 411151345 443152820 616601590 678261749 822302690 835214881 1233203180 1356523498 1644605380 1670429762 2713046996 3340859524 3391308745 4176074405 6782617490 8352148810 9187363691 13565234980 16704297620 18374727382 36749454764 45936818455 91873636910 101061000601 183747273820 202122001202 404244002404 505305003005 1010610006010 2021220012020