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22002121221000 = 2335331323431439
BaseRepresentation
bin1010000000010110001001…
…00111101010001110001000
32212220101022122202112210120
411000023010213222032020
510340440321013033000
6114443345052143240
74430413034426514
oct500130447521610
985811278675716
1022002121221000
117013057920628
1225741a9a67b20
13c37a3915605b
14560ca071d144
152824d41bd6a0
hex1402c49ea388

22002121221000 has 128 divisors (see below), whose sum is σ = 68865939417600. Its totient is φ = 5848486924800.

The previous prime is 22002121220987. The next prime is 22002121221001. The reversal of 22002121221000 is 12212120022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22002121221001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10776720 + ... + 12654719.

It is an arithmetic number, because the mean of its divisors is an integer number (538015151700).

Almost surely, 222002121221000 is an apocalyptic number.

22002121221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002121221000 is an abundant number, since it is smaller than the sum of its proper divisors (46863818196600).

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

22002121221000 is a wasteful number, since it uses less digits than its factorization.

22002121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23431776 (or 23431762 counting only the distinct ones).

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

Adding to 22002121221000 its reverse (12212120022), we get a palindrome (22014333341022).

The spelling of 22002121221000 in words is "twenty-two trillion, two billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 313 375 500 600 626 750 939 1000 1252 1500 1565 1878 2504 3000 3130 3756 4695 6260 7512 7825 9390 12520 15650 18780 23475 31300 37560 39125 46950 62600 78250 93900 117375 156500 187800 234750 313000 469500 939000 23431439 46862878 70294317 93725756 117157195 140588634 187451512 234314390 281177268 351471585 468628780 562354536 585785975 702943170 937257560 1171571950 1405886340 1757357925 2343143900 2811772680 2928929875 3514715850 4686287800 5857859750 7029431700 7334040407 8786789625 11715719500 14058863400 14668080814 17573579250 22002121221 23431439000 29336161628 35147158500 36670202035 44004242442 58672323256 70294317000 73340404070 88008484884 110010606105 146680808140 176016969768 183351010175 220021212210 293361616280 366702020350 440042424420 550053030525 733404040700 880084848840 916755050875 1100106061050 1466808081400 1833510101750 2200212122100 2750265152625 3667020203500 4400424244200 5500530305250 7334040407000 11001060610500 22002121221000