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22001101101112 = 2372290319333537
BaseRepresentation
bin1010000000010100001111…
…10100001101100000111000
32212220021200120020002101111
411000022013310031200320
510340431223340213422
6114443055531330104
74430345536520200
oct500120764154070
985807616202344
1022001101101112
117012684005441
122573b642b0934
13c379059c3013
14560c05055400
15282474865a77
hex140287d0d838

22001101101112 has 48 divisors (see below), whose sum is σ = 48003628170960. Its totient is φ = 9425794807296.

The previous prime is 22001101101059. The next prime is 22001101101233. The reversal of 22001101101112 is 21110110110022.

It is a happy number.

It is a super-2 number, since 2×220011011011122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22001101101092 and 22001101101101.

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 11 ways as a sum of consecutive naturals, for example, 8528793 + ... + 10804744.

It is an arithmetic number, because the mean of its divisors is an integer number (1000075586895).

Almost surely, 222001101101112 is an apocalyptic number.

It is an amenable number.

22001101101112 is an abundant number, since it is smaller than the sum of its proper divisors (26002527069848).

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

22001101101112 is a wasteful number, since it uses less digits than its factorization.

22001101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336460 (or 19336449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22001101101112 its reverse (21110110110022), we get a palindrome (43111211211134).

The spelling of 22001101101112 in words is "twenty-two trillion, one billion, one hundred one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2903 5806 11612 20321 23224 40642 81284 142247 162568 284494 568988 1137976 19333537 38667074 77334148 135334759 154668296 270669518 541339036 947343313 1082678072 1894686626 3789373252 7578746504 56125257911 112250515822 224501031644 392876805377 449002063288 785753610754 1571507221508 2750137637639 3143014443016 5500275275278 11000550550556 22001101101112