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22001012011000 = 2353114315146351
BaseRepresentation
bin1010000000010100000101…
…00000010110111111111000
32212220021110100120211201201
411000022002200112333320
510340431033033323000
6114443043030023544
74430343405334231
oct500120240267770
985807410524651
1022001012011000
117012638795750
122573b3a4a7bb4
13c378c03cc289
14560bd72a4088
1528246bb1896a
hex140282816ff8

22001012011000 has 128 divisors (see below), whose sum is σ = 56165096632320. Its totient is φ = 8000010000000.

The previous prime is 22001012010983. The next prime is 22001012011037. The reversal of 22001012011000 is 11021010022.

It is a super-3 number, since 3×220010120110003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474637825 + ... + 474684175.

It is an arithmetic number, because the mean of its divisors is an integer number (438789817440).

Almost surely, 222001012011000 is an apocalyptic number.

22001012011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001012011000 is an abundant number, since it is smaller than the sum of its proper divisors (34164084621320).

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

22001012011000 is a wasteful number, since it uses less digits than its factorization.

22001012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89534 (or 89520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22001012011000 its reverse (11021010022), we get a palindrome (22012033021022).

The spelling of 22001012011000 in words is "twenty-two trillion, one billion, twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 43151 46351 86302 92702 172604 185404 215755 231755 345208 370808 431510 463510 474661 509861 863020 927020 949322 1019722 1078775 1158775 1726040 1854040 1898644 2039444 2157550 2317550 2373305 2549305 3797288 4078888 4315100 4635100 4746610 5098610 5393875 5793875 8630200 9270200 9493220 10197220 10787750 11587750 11866525 12746525 18986440 20394440 21575500 23175500 23733050 25493050 43151000 46351000 47466100 50986100 59332625 63732625 94932200 101972200 118665250 127465250 237330500 254930500 474661000 509861000 2000092001 4000184002 8000368004 10000460005 16000736008 20000920010 22001012011 40001840020 44002024022 50002300025 80003680040 88004048044 100004600050 110005060055 176008096088 200009200100 220010120110 250011500125 400018400200 440020240220 500023000250 550025300275 880040480440 1000046000500 1100050600550 2000092001000 2200101201100 2750126501375 4400202402200 5500253002750 11000506005500 22001012011000