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2022110010000 = 24325422467889
BaseRepresentation
bin11101011011001111001…
…001100001101010010000
321011022102022201201210100
4131123033021201222100
5231112240130310000
64144540003132400
7266043525326433
oct35331711415220
97138368651710
102022110010000
1170a632425623
12287a94674100
131188b8123122
146dc290a981a
15378ee0dba00
hex1d6cf261a90

2022110010000 has 150 divisors (see below), whose sum is σ = 7071611102270. Its totient is φ = 539229312000.

The previous prime is 2022110009917. The next prime is 2022110010023. The reversal of 2022110010000 is 100112202.

It can be written as a sum of positive squares in 5 ways, for example, as 162454139136 + 1859655870864 = 403056^2 + 1363692^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11143945 + ... + 11323944.

Almost surely, 22022110010000 is an apocalyptic number.

2022110010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022110010000 is an abundant number, since it is smaller than the sum of its proper divisors (5049501092270).

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

2022110010000 is a wasteful number, since it uses less digits than its factorization.

2022110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22467923 (or 22467899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2022110010000 its reverse (100112202), we get a palindrome (2022210122202).

The spelling of 2022110010000 in words is "two trillion, twenty-two billion, one hundred ten million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 22467889 44935778 67403667 89871556 112339445 134807334 179743112 202211001 224678890 269614668 337018335 359486224 404422002 449357780 539229336 561697225 674036670 808844004 898715560 1011055005 1078458672 1123394450 1348073340 1617688008 1685091675 1797431120 2022110010 2246788900 2696146680 2808486125 3235376016 3370183350 4044220020 4493577800 5055275025 5392293360 5616972250 6740366700 8088440040 8425458375 8987155600 10110550050 11233944500 13480733400 14042430625 16176880080 16850916750 20221100100 22467889000 25276375125 26961466800 28084861250 33701833500 40442200200 42127291875 44935778000 50552750250 56169722500 67403667000 80884400400 84254583750 101105500500 112339445000 126381875625 134807334000 168509167500 202211001000 224678890000 252763751250 337018335000 404422002000 505527502500 674036670000 1011055005000 2022110010000