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1100022122320 = 245112113638649
BaseRepresentation
bin10000000000011110011…
…011011000011101010000
310220011100102200200211221
4100000132123120131100
5121010321130403240
62201202043414424
7142321400523052
oct20003633303520
93804312620757
101100022122320
113945758a0900
12159237224414
137c9685526c4
143b3543c58d2
151d9328c0a4a
hex1001e6d8750

1100022122320 has 60 divisors (see below), whose sum is σ = 2811192923700. Its totient is φ = 400008040960.

The previous prime is 1100022122317. The next prime is 1100022122327. The reversal of 1100022122320 is 232212200011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 831320885824 + 268701236496 = 911768^2 + 518364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1100022122294 and 1100022122303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100022122327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56809645 + ... + 56829004.

It is an arithmetic number, because the mean of its divisors is an integer number (46853215395).

Almost surely, 21100022122320 is an apocalyptic number.

1100022122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100022122320 is an abundant number, since it is smaller than the sum of its proper divisors (1711170801380).

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

1100022122320 is a wasteful number, since it uses less digits than its factorization.

1100022122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113638684 (or 113638667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1100022122320 its reverse (232212200011), we get a palindrome (1332234322331).

It can be divided in two parts, 110002 and 2122320, that added together give a palindrome (2232322).

The spelling of 1100022122320 in words is "one trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 113638649 227277298 454554596 568193245 909109192 1136386490 1250025139 1818218384 2272772980 2500050278 4545545960 5000100556 6250125695 9091091920 10000201112 12500251390 13750276529 20000402224 25000502780 27500553058 50001005560 55001106116 68751382645 100002011120 110002212232 137502765290 220004424464 275005530580 550011061160 1100022122320