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1105082081304 = 233177960157047
BaseRepresentation
bin10000000101001100000…
…001100110000000011000
310220122102001220020200020
4100011030001212000120
5121101202003100204
62203400120110440
7142560651464055
oct20051401460030
93818361806606
101105082081304
11396732030993
1215a209905420
1380293945686
143b6b441402c
151db2bc1cbd9
hex1014c066018

1105082081304 has 128 divisors (see below), whose sum is σ = 2967226214400. Its totient is φ = 341728358400.

The previous prime is 1105082081303. The next prime is 1105082081317. The reversal of 1105082081304 is 4031802805011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105082081303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19342909 + ... + 19399955.

It is an arithmetic number, because the mean of its divisors is an integer number (23181454800).

Almost surely, 21105082081304 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 1105082081304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483613107200).

1105082081304 is an abundant number, since it is smaller than the sum of its proper divisors (1862144133096).

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

1105082081304 is a wasteful number, since it uses less digits than its factorization.

1105082081304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57753 (or 57749 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 1105082081304 its reverse (4031802805011), we get a palindrome (5136884886315).

The spelling of 1105082081304 in words is "one trillion, one hundred five billion, eighty-two million, eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 601 632 948 1202 1343 1803 1896 2404 2686 3606 4029 4808 5372 7212 8058 10217 10744 14424 16116 20434 30651 32232 40868 47479 57047 61302 81736 94958 114094 122604 142437 171141 189916 228188 245208 284874 342282 379832 456376 569748 684564 807143 969799 1139496 1369128 1614286 1939598 2421429 2909397 3228572 3879196 4506713 4842858 5818794 6457144 7758392 9013426 9685716 11637588 13520139 18026852 19371432 23275176 27040278 34285247 36053704 54080556 68570494 76614121 102855741 108161112 137140988 153228242 205711482 229842363 274281976 306456484 411422964 459684726 582849199 612912968 822845928 919369452 1165698398 1748547597 1838738904 2331396796 2708534513 3497095194 4662793592 5417069026 6994190388 8125603539 10834138052 13988380776 16251207078 21668276104 32502414156 46045086721 65004828312 92090173442 138135260163 184180346884 276270520326 368360693768 552541040652 1105082081304