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22110210202000 = 245311055105101
BaseRepresentation
bin1010000011011111011110…
…01110011001100110010000
32220021201022120020200221011
411001233233032121212100
510344223202302431000
6115005142414140304
74441260422545144
oct501575716314620
986251276220834
1022110210202000
117054984279898
1225911347b1694
13c44ca3761a8b
145661d5bab224
1528520d62d2ba
hex141bef399990

22110210202000 has 40 divisors (see below), whose sum is σ = 53462488273272. Its totient is φ = 8844084080000.

The previous prime is 22110210201977. The next prime is 22110210202039. The reversal of 22110210202000 is 20201201122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2333476215184 + 19776733986816 = 1527572^2 + 4447104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221102102020002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5527550551 + ... + 5527554550.

Almost surely, 222110210202000 is an apocalyptic number.

22110210202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110210202000 is an abundant number, since it is smaller than the sum of its proper divisors (31352278071272).

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

22110210202000 is a wasteful number, since it uses less digits than its factorization.

22110210202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055105124 (or 11055105108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22110210202000 its reverse (20201201122), we get a palindrome (22130411403122).

The spelling of 22110210202000 in words is "twenty-two trillion, one hundred ten billion, two hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11055105101 22110210202 44220420404 55275525505 88440840808 110551051010 176881681616 221102102020 276377627525 442204204040 552755255050 884408408080 1105510510100 1381888137625 2211021020200 2763776275250 4422042040400 5527552550500 11055105101000 22110210202000