Search a number
-
+
21100122112020 = 22357215787454609
BaseRepresentation
bin1001100110000110000010…
…10010001000000000010100
32202201011002210022012120220
410303003001102020000110
510231201022230041040
6112513132352554340
74305301460465100
oct463030122100024
982634083265526
1021100122112020
1167a5569942656
1224494182529b0
13ba096b475333
1452d373a30900
15268ce14082d0
hex1330c1488014

21100122112020 has 144 divisors (see below), whose sum is σ = 68730616543680. Its totient is φ = 4822568948736.

The previous prime is 21100122111989. The next prime is 21100122112057. The reversal of 21100122112020 is 2021122100112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46186476 + ... + 46641084.

It is an arithmetic number, because the mean of its divisors is an integer number (477295948220).

Almost surely, 221100122112020 is an apocalyptic number.

21100122112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100122112020 is an abundant number, since it is smaller than the sum of its proper divisors (47630494431660).

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

21100122112020 is a wasteful number, since it uses less digits than its factorization.

21100122112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470422 (or 470413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100122112020 its reverse (2021122100112), we get a palindrome (23121244212132).

The spelling of 21100122112020 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 15787 31574 47361 63148 78935 94722 110509 157870 189444 221018 236805 315740 331527 442036 454609 473610 552545 663054 773563 909218 947220 1105090 1326108 1363827 1547126 1657635 1818436 2210180 2273045 2320689 2727654 3094252 3182263 3315270 3867815 4546090 4641378 5455308 6364526 6630540 6819135 7735630 9092180 9282756 9546789 11603445 12729052 13638270 15471260 15911315 19093578 22275841 23206890 27276540 31822630 38187156 44551682 46413780 47733945 63645260 66827523 89103364 95467890 111379205 133655046 190935780 222758410 267310092 334137615 445516820 668275230 1336550460 7176912283 14353824566 21530736849 28707649132 35884561415 43061473698 50238385981 71769122830 86122947396 100476771962 107653684245 143538245660 150715157943 200953543924 215307368490 251191929905 301430315886 351668701867 430614736980 502383859810 602860631772 703337403734 753575789715 1004767719620 1055006105601 1406674807468 1507151579430 1758343509335 2110012211202 3014303158860 3516687018670 4220024422404 5275030528005 7033374037340 10550061056010 21100122112020