Search a number
-
+
21021534022300 = 22527238631512961
BaseRepresentation
bin1001100011110011101010…
…00100010110101010011100
32202102122020211221121101021
410301321311010112222130
510223404100202203200
6112413054233253524
74266520131653020
oct461716504265234
982378224847337
1021021534022300
116775200a1a679
1224361452642a4
13b964259cc1b6
1452963a5c8380
15266c41d8341a
hex131e75116a9c

21021534022300 has 144 divisors (see below), whose sum is σ = 54463146135552. Its totient is φ = 6886025625600.

The previous prime is 21021534022267. The next prime is 21021534022337. The reversal of 21021534022300 is 322043512012.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 13137820 + ... + 14650780.

It is an arithmetic number, because the mean of its divisors is an integer number (378216292608).

Almost surely, 221021534022300 is an apocalyptic number.

21021534022300 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 21021534022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231573067776).

21021534022300 is an abundant number, since it is smaller than the sum of its proper divisors (33441612113252).

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

21021534022300 is a wasteful number, since it uses less digits than its factorization.

21021534022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513868 (or 1513861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21021534022300 its reverse (322043512012), we get a palindrome (21343577534312).

The spelling of 21021534022300 in words is "twenty-one trillion, twenty-one billion, five hundred thirty-four million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 863 1150 1610 1726 2300 3220 3452 4025 4315 6041 8050 8630 12082 16100 17260 19849 21575 24164 30205 39698 43150 60410 79396 86300 99245 120820 138943 151025 198490 277886 302050 396980 496225 555772 604100 694715 992450 1389430 1512961 1984900 2778860 3025922 3473575 6051844 6947150 7564805 10590727 13894300 15129610 21181454 30259220 34798103 37824025 42362908 52953635 69596206 75648050 105907270 139192412 151296100 173990515 211814540 243586721 264768175 347981030 487173442 529536350 695962060 869952575 974346884 1059072700 1217933605 1305685343 1739905150 2435867210 2611370686 3479810300 4871734420 5222741372 6089668025 6528426715 9139797401 12179336050 13056853430 18279594802 24358672100 26113706860 30030762889 32642133575 36559189604 45698987005 60061525778 65284267150 91397974010 120123051556 130568534300 150153814445 182795948020 210215340223 228494935025 300307628890 420430680446 456989870050 600615257780 750769072225 840861360892 913979740100 1051076701115 1501538144450 2102153402230 3003076288900 4204306804460 5255383505575 10510767011150 21021534022300