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21203201011032 = 23321761007283949
BaseRepresentation
bin1001101001000110000010…
…10000111010110101011000
32210002000011112102211021100
410310203001100322311120
510234343123424323112
6113032341023311400
74315611041615415
oct464430120726530
983060145384240
1021203201011032
116835255228097
1224653a514b560
13baa5b7b024c1
1453435195510c
1526b825abe2dc
hex1348c143ad58

21203201011032 has 96 divisors (see below), whose sum is σ = 60804507816000. Its totient is φ = 6651852168192.

The previous prime is 21203201011019. The next prime is 21203201011037. The reversal of 21203201011032 is 23011010230212.

21203201011032 is a `hidden beast` number, since 212 + 0 + 320 + 101 + 1 + 0 + 32 = 666.

It is a super-3 number, since 3×212032010110323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21203201010996 and 21203201011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21203201011037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74530594 + ... + 74814542.

It is an arithmetic number, because the mean of its divisors is an integer number (633380289750).

Almost surely, 221203201011032 is an apocalyptic number.

It is an amenable number.

21203201011032 is an abundant number, since it is smaller than the sum of its proper divisors (39601306804968).

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

21203201011032 is a wasteful number, since it uses less digits than its factorization.

21203201011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344985 (or 344978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21203201011032 its reverse (23011010230212), we get a palindrome (44214211241244).

The spelling of 21203201011032 in words is "twenty-one trillion, two hundred three billion, two hundred one million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 61007 122014 183021 244028 283949 366042 488056 549063 567898 732084 851847 1037119 1098126 1135796 1464168 1703694 2074238 2196252 2271592 2555541 3111357 3407388 4148476 4392504 4827133 5111082 6222714 6814776 8296952 9334071 9654266 10222164 12445428 14481399 18668142 19308532 20444328 24890856 28962798 37336284 38617064 43444197 57925596 74672568 86888394 115851192 173776788 347553576 17322876643 34645753286 51968629929 69291506572 103937259858 138583013144 155905889787 207874519716 294488902931 311811779574 415749039432 588977805862 623623559148 883466708793 1177955611724 1247247118296 1766933417586 2355911223448 2650400126379 3533866835172 5300800252758 7067733670344 10601600505516 21203201011032