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22110222101120 = 275199317334281
BaseRepresentation
bin1010000011011111011111…
…11011110010101010000000
32220021201100101122020110022
411001233233323302222000
510344223213324213440
6115005143521153012
74441260625644356
oct501575773625200
986251311566408
1022110222101120
11705498aa6687a
12259113878b768
13c44ca6069b8a
145661d75c77d6
1528520e6cdcb5
hex141befef2a80

22110222101120 has 64 divisors (see below), whose sum is σ = 52883774211240. Its totient is φ = 8839650754560.

The previous prime is 22110222101117. The next prime is 22110222101141. The reversal of 22110222101120 is 2110122201122.

It can be written as a sum of positive squares in 4 ways, for example, as 18322714494016 + 3787507607104 = 4280504^2 + 1946152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7391621 + ... + 9942660.

Almost surely, 222110222101120 is an apocalyptic number.

22110222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110222101120 is an abundant number, since it is smaller than the sum of its proper divisors (30773552110120).

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

22110222101120 is a wasteful number, since it uses less digits than its factorization.

22110222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17336293 (or 17336281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22110222101120 its reverse (2110122201122), we get a palindrome (24220344302242).

The spelling of 22110222101120 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1993 3986 7972 9965 15944 19930 31888 39860 63776 79720 127552 159440 255104 318880 637760 1275520 17334281 34668562 69337124 86671405 138674248 173342810 277348496 346685620 554696992 693371240 1109393984 1386742480 2218787968 2773484960 5546969920 11093939840 34547222033 69094444066 138188888132 172736110165 276377776264 345472220330 552755552528 690944440660 1105511105056 1381888881320 2211022210112 2763777762640 4422044420224 5527555525280 11055111050560 22110222101120