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21220133232000 = 27353442086109
BaseRepresentation
bin1001101001100101100101…
…00000001101110110000000
32210010121212120101202211110
410310302302200031312000
510240132313101411000
6113044221123443320
74320050453253213
oct464626240156600
983117776352743
1021220133232000
11684145400233a
12246872b826540
13bac085a53c71
145350ba62d77a
1526beb7358850
hex134cb280dd80

21220133232000 has 128 divisors (see below), whose sum is σ = 70344741823200. Its totient is φ = 5658702182400.

The previous prime is 21220133231959. The next prime is 21220133232013. The reversal of 21220133232000 is 23233102212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220995055 + ... + 221091054.

Almost surely, 221220133232000 is an apocalyptic number.

21220133232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220133232000 is an abundant number, since it is smaller than the sum of its proper divisors (49124608591200).

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

21220133232000 is an equidigital number, since it uses as much as digits as its factorization.

21220133232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442086141 (or 442086119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21220133232000 its reverse (23233102212), we get a palindrome (21243366334212).

The spelling of 21220133232000 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-three million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 442086109 884172218 1326258327 1768344436 2210430545 2652516654 3536688872 4420861090 5305033308 6631291635 7073377744 8841722180 10610066616 11052152725 13262583270 14146755488 17683444360 21220133232 22104305450 26525166540 28293510976 33156458175 35366888720 42440266464 44208610900 53050333080 55260763625 56587021952 66312916350 70733777440 84880532928 88417221800 106100666160 110521527250 132625832700 141467554880 165782290875 169761065856 176834443600 212201332320 221043054500 265251665400 282935109760 331564581750 353668887200 424402664640 442086109000 530503330800 663129163500 707337774400 848805329280 884172218000 1061006661600 1326258327000 1414675548800 1768344436000 2122013323200 2652516654000 3536688872000 4244026646400 5305033308000 7073377744000 10610066616000 21220133232000