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21032200322304 = 283294321961249
BaseRepresentation
bin1001100100000111100001…
…10101000011110100000000
32202110122210012110210021120
410302003300311003310000
510224042421240303204
6112422020501152240
74300345350010413
oct462036065036400
982418705423246
1021032200322304
116779784856746
1224382213bb680
13b97435759912
14529d6d031b7a
152671684a86d9
hex1320f0d43d00

21032200322304 has 144 divisors (see below), whose sum is σ = 59253209400000. Its totient is φ = 6611565477888.

The previous prime is 21032200322257. The next prime is 21032200322311. The reversal of 21032200322304 is 40322300223012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10022929 + ... + 11938320.

Almost surely, 221032200322304 is an apocalyptic number.

21032200322304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21032200322304 is an abundant number, since it is smaller than the sum of its proper divisors (38221009077696).

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

21032200322304 is a wasteful number, since it uses less digits than its factorization.

21032200322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21961340 (or 21961326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21032200322304 its reverse (40322300223012), we get a palindrome (61354500545316).

The spelling of 21032200322304 in words is "twenty-one trillion, thirty-two billion, two hundred million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 64 86 87 96 116 128 129 172 174 192 232 256 258 344 348 384 464 516 688 696 768 928 1032 1247 1376 1392 1856 2064 2494 2752 2784 3712 3741 4128 4988 5504 5568 7424 7482 8256 9976 11008 11136 14964 16512 19952 22272 29928 33024 39904 59856 79808 119712 159616 239424 319232 478848 957696 21961249 43922498 65883747 87844996 131767494 175689992 263534988 351379984 527069976 636876221 702759968 944333707 1054139952 1273752442 1405519936 1888667414 1910628663 2108279904 2547504884 2811039872 2833001121 3777334828 3821257326 4216559808 5095009768 5622079744 5666002242 7554669656 7642514652 8433119616 10190019536 11332004484 15109339312 15285029304 16866239232 20380039072 22664008968 27385677503 30218678624 30570058608 40760078144 45328017936 54771355006 60437357248 61140117216 81520156288 82157032509 90656035872 109542710012 120874714496 122280234432 163040312576 164314065018 181312071744 219085420024 241749428992 244560468864 328628130036 362624143488 438170840048 489120937728 657256260072 725248286976 876341680096 1314512520144 1752683360192 2629025040288 3505366720384 5258050080576 7010733440768 10516100161152 21032200322304