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22114311010000 = 245411201039191
BaseRepresentation
bin1010000011100111000111…
…01001101111011011010000
32220022002220100122022221221
411001303203221233123100
510344310102104310000
6115011101344454424
74441464146050456
oct501634351573320
986262810568857
1022114311010000
117056699056610
122591a9a01a414
13c454a821a9a1
145664a46829d6
1528539d66761a
hex141ce3a6f6d0

22114311010000 has 100 divisors (see below), whose sum is σ = 58408318530144. Its totient is φ = 8041567600000.

The previous prime is 22114311009979. The next prime is 22114311010039. The reversal of 22114311010000 is 1011341122.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 100409596 + ... + 100629595.

Almost surely, 222114311010000 is an apocalyptic number.

22114311010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22114311010000 is an abundant number, since it is smaller than the sum of its proper divisors (36294007520144).

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

22114311010000 is a wasteful number, since it uses less digits than its factorization.

22114311010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201039230 (or 201039209 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22114311010000 its reverse (1011341122), we get a palindrome (22115322351122).

The spelling of 22114311010000 in words is "twenty-two trillion, one hundred fourteen billion, three hundred eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 201039191 402078382 804156764 1005195955 1608313528 2010391910 2211431101 3216627056 4020783820 4422862202 5025979775 8041567640 8845724404 10051959550 11057155505 16083135280 17691448808 20103919100 22114311010 25129898875 35382897616 40207838200 44228622020 50259797750 55285777525 80415676400 88457244040 100519595500 110571555050 125649494375 176914488080 201039191000 221143110100 251298988750 276428887625 402078382000 442286220200 502597977500 552857775250 884572440400 1005195955000 1105715550500 1382144438125 2010391910000 2211431101000 2764288876250 4422862202000 5528577752500 11057155505000 22114311010000