Search a number
-
+
21000221210202 = 231341167197199601
BaseRepresentation
bin1001100011001011111101…
…01110011011011001011010
32202100121020112010120111020
410301211332232123121122
510223031423112211302
6112355211325543310
74265134026024423
oct461457656333132
982317215116436
1021000221210202
116767164442483
122431b97714b36
13b9440a351a90
145285b7c0864a
152663e5c45ebc
hex13197eb9b65a

21000221210202 has 128 divisors (see below), whose sum is σ = 46848741907968. Its totient is φ = 6234418176000.

The previous prime is 21000221210173. The next prime is 21000221210249. The reversal of 21000221210202 is 20201212200012.

21000221210202 is a modest number, since divided by 21210202 gives 210002 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105111202 + ... + 105310802.

It is an arithmetic number, because the mean of its divisors is an integer number (366005796156).

Almost surely, 221000221210202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000221210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23424370953984).

21000221210202 is an abundant number, since it is smaller than the sum of its proper divisors (25848520697766).

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

21000221210202 is a wasteful number, since it uses less digits than its factorization.

21000221210202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200024.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21000221210202 its reverse (20201212200012), we get a palindrome (41201433410214).

The spelling of 21000221210202 in words is "twenty-one trillion, two hundred twenty-one million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 167 197 246 334 394 501 533 591 1002 1066 1182 1599 2171 2561 3198 4342 5122 6513 6847 7683 8077 13026 13694 15366 16154 20541 24231 32899 41082 48462 65798 89011 98697 105001 178022 197394 199601 210002 267033 315003 399202 427687 534066 598803 630006 855374 1197606 1283061 1348859 2566122 2594813 2697718 4046577 5189626 7784439 8093154 8183641 15568878 16367282 17535167 24550923 33333367 35070334 39321397 49101846 52605501 66666734 78642794 100000101 105211002 106387333 117964191 200000202 212774666 235928382 319161999 433333771 511178161 638323998 866667542 1022356322 1300001313 1366668047 1533534483 1612177277 2600002626 2733336094 3067068966 3224354554 4100004141 4836531831 6566673299 8200008282 9673063662 13133346598 17766684611 19700019897 20958304601 35533369222 39400039794 41916609202 53300053833 62874913803 85366752887 106600107666 125749827606 170733505774 256100258661 269233605259 512200517322 538467210518 807700815777 1615401631554 3500036868367 7000073736734 10500110605101 21000221210202