Search a number
-
+
21100102022020 = 22572631169720107
BaseRepresentation
bin1001100110000110000000…
…00101011111001110000100
32202201011001101111112021211
410303003000011133032010
510231201002104201040
6112513130354221204
74305301124642500
oct463030005371604
982634041445254
1021100102022020
1167a555957074a
122449411584804
13ba096725cc68
1452d3710c1300
15268cde78a8ea
hex1330c015f384

21100102022020 has 144 divisors (see below), whose sum is σ = 51659213139072. Its totient is φ = 7218240583680.

The previous prime is 21100102021969. The next prime is 21100102022081. The reversal of 21100102022020 is 2022020100112.

It is a happy 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, 1049380807 + ... + 1049400913.

It is an arithmetic number, because the mean of its divisors is an integer number (358744535688).

Almost surely, 221100102022020 is an apocalyptic number.

21100102022020 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 21100102022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25829606569536).

21100102022020 is an abundant number, since it is smaller than the sum of its proper divisors (30559111117052).

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

21100102022020 is a wasteful number, since it uses less digits than its factorization.

21100102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22458 (or 22449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21100102022020 its reverse (2022020100112), we get a palindrome (23122122122132).

The spelling of 21100102022020 in words is "twenty-one trillion, one hundred billion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 631 980 1262 1697 2524 3155 3394 4417 6310 6788 8485 8834 11879 12620 16970 17668 20107 22085 23758 30919 33940 40214 44170 47516 59395 61838 80428 83153 88340 100535 118790 123676 140749 154595 166306 201070 237580 281498 309190 332612 402140 415765 562996 618380 703745 831530 985243 1070807 1407490 1663060 1970486 2141614 2814980 3940972 4283228 4926215 5354035 7495649 9852430 10708070 12687517 14991298 19704860 21416140 25375034 29982596 34121579 37478245 50750068 52469543 63437585 68243158 74956490 88812619 104939086 126875170 136486316 149912980 170607895 177625238 209878172 238851053 253750340 262347715 341215790 355250476 444063095 477702106 524695430 621688333 682431580 888126190 955404212 1049390860 1194255265 1243376666 1671957371 1776252380 2388510530 2486753332 3108441665 3343914742 4777021060 6216883330 6687829484 8359786855 12433766660 16719573710 21530716349 33439147420 43061432698 86122865396 107653581745 150715014443 215307163490 301430028886 430614326980 602860057772 753575072215 1055005101101 1507150144430 2110010202202 3014300288860 4220020404404 5275025505505 10550051011010 21100102022020