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22102310000 = 24542396097
BaseRepresentation
bin10100100101011001…
…100111110001110000
32010001100101200102002
4110211121213301300
5330231142410000
614053105113132
71411500351401
oct244531476160
963040350362
1022102310000
1194121a5701
12434a0287a8
1321130c4054
1410d95b39a8
158955dc8d5
hex525667c70

22102310000 has 100 divisors (see below), whose sum is σ = 55839088272. Its totient is φ = 8456448000.

The previous prime is 22102309993. The next prime is 22102310039. The reversal of 22102310000 is 1320122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×221023100002 (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 181952 + ... + 278048.

Almost surely, 222102310000 is an apocalyptic number.

22102310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27919544136).

22102310000 is an abundant number, since it is smaller than the sum of its proper divisors (33736778272).

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

22102310000 is an equidigital number, since it uses as much as digits as its factorization.

22102310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96148 (or 96127 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22102310000 its reverse (1320122), we get a palindrome (22103630122).

The spelling of 22102310000 in words is "twenty-two billion, one hundred two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 96097 115000 192194 230000 384388 480485 768776 960970 1537552 1921940 2210231 2402425 3843880 4420462 4804850 7687760 8840924 9609700 11051155 12012125 17681848 19219400 22102310 24024250 35363696 38438800 44204620 48048500 55255775 60060625 88409240 96097000 110511550 120121250 176818480 192194000 221023100 240242500 276278875 442046200 480485000 552557750 884092400 960970000 1105115500 1381394375 2210231000 2762788750 4420462000 5525577500 11051155000 22102310000