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11300344104132 = 2233353296410243
BaseRepresentation
bin1010010001110001000011…
…1111110000010011000100
31111000022011102002000012000
42210130100333300103010
52440121101042313012
640011150104025300
72244265030016016
oct244342077602304
944008142060160
1011300344104132
1136674a3713796
1213260ba462230
1363c805623375
142b0d2228c1b6
15148e34189ddc
hexa4710ff04c4

11300344104132 has 48 divisors (see below), whose sum is σ = 29380183385280. Its totient is φ = 3756110586624.

The previous prime is 11300344104109. The next prime is 11300344104139. The reversal of 11300344104132 is 23140144300311.

11300344104132 is a `hidden beast` number, since 1 + 1 + 300 + 344 + 1 + 0 + 4 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11300344104096 and 11300344104105.

It is not an unprimeable number, because it can be changed into a prime (11300344104139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148166998 + ... + 148243245.

It is an arithmetic number, because the mean of its divisors is an integer number (612087153860).

Almost surely, 211300344104132 is an apocalyptic number.

11300344104132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11300344104132 is an abundant number, since it is smaller than the sum of its proper divisors (18079839281148).

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

11300344104132 is a wasteful number, since it uses less digits than its factorization.

11300344104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296410609 (or 296410601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11300344104132 its reverse (23140144300311), we get a palindrome (34440488404443).

The spelling of 11300344104132 in words is "eleven trillion, three hundred billion, three hundred forty-four million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 38124 296410243 592820486 889230729 1185640972 1778461458 2667692187 3556922916 5335384374 8003076561 10670768748 16006153122 32012306244 104632815779 209265631558 313898447337 418531263116 627796894674 941695342011 1255593789348 1883390684022 2825086026033 3766781368044 5650172052066 11300344104132