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11000322112 = 2613731391303
BaseRepresentation
bin10100011111010101…
…11001100001000000
31001101122001021002111
422033222321201000
5140012040301422
65015315025104
7536412123643
oct121752714100
931348037074
1011000322112
1147354388aa
12216bb9b194
13106400b150
14764d55a5a
15445b04a77
hex28fab9840

11000322112 has 112 divisors (see below), whose sum is σ = 24019784320. Its totient is φ = 4967682048.

The previous prime is 11000322101. The next prime is 11000322127. The reversal of 11000322112 is 21122300011.

It is a super-2 number, since 2×110003221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11000322092 and 11000322101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8441653 + ... + 8442955.

It is an arithmetic number, because the mean of its divisors is an integer number (214462360).

Almost surely, 211000322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009892160).

11000322112 is an abundant number, since it is smaller than the sum of its proper divisors (13019462208).

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

11000322112 is a wasteful number, since it uses less digits than its factorization.

11000322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11000322112 its reverse (21122300011), we get a palindrome (32122622123).

The spelling of 11000322112 in words is "eleven billion, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 139 146 208 278 292 416 556 584 832 949 1112 1168 1303 1807 1898 2224 2336 2606 3614 3796 4448 4672 5212 7228 7592 8896 10147 10424 14456 15184 16939 20294 20848 28912 30368 33878 40588 41696 57824 60736 67756 81176 83392 95119 115648 131911 135512 162352 181117 190238 263822 271024 324704 362234 380476 527644 542048 649408 724468 760952 1055288 1084096 1236547 1448936 1521904 2110576 2354521 2473094 2897872 3043808 4221152 4709042 4946188 5795744 6087616 8442304 9418084 9892376 11591488 13221541 18836168 19784752 26443082 37672336 39569504 52886164 75344672 79139008 105772328 150689344 171880033 211544656 343760066 423089312 687520132 846178624 1375040264 2750080528 5500161056 11000322112