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129012411330 = 232511151863017
BaseRepresentation
bin111100000100110111…
…1010010101111000010
3110100000002121112122200
41320021233102233002
54103204134130310
6135133435414030
712215022255045
oct1701157225702
9410002545580
10129012411330
114a794163150
1221005bb4316
13c2203c193a
14635c26cc5c
1535512d49c0
hex1e09bd2bc2

129012411330 has 96 divisors (see below), whose sum is σ = 368349890688. Its totient is φ = 31068576000.

The previous prime is 129012411329. The next prime is 129012411361. The reversal of 129012411330 is 33114210921.

129012411330 is a `hidden beast` number, since 1 + 2 + 90 + 1 + 241 + 1 + 330 = 666.

It is a super-2 number, since 2×1290124113302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129012411294 and 129012411303.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 282019 + ... + 580998.

It is an arithmetic number, because the mean of its divisors is an integer number (3836978028).

Almost surely, 2129012411330 is an apocalyptic number.

129012411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129012411330 is an abundant number, since it is smaller than the sum of its proper divisors (239337479358).

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

129012411330 is a wasteful number, since it uses less digits than its factorization.

129012411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863192 (or 863189 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 129012411330 in words is "one hundred twenty-nine billion, twelve million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 151 165 198 302 330 453 495 755 906 990 1359 1510 1661 2265 2718 3322 4530 4983 6795 8305 9966 13590 14949 16610 24915 29898 49830 74745 149490 863017 1726034 2589051 4315085 5178102 7767153 8630170 9493187 12945255 15534306 18986374 25890510 28479561 38835765 47465935 56959122 77671530 85438683 94931870 130315567 142397805 170877366 260631134 284795610 390946701 427193415 651577835 781893402 854386830 1172840103 1303155670 1433471237 1954733505 2345680206 2866942474 3909467010 4300413711 5864200515 7167356185 8600827422 11728401030 12901241133 14334712370 21502068555 25802482266 43004137110 64506205665 129012411330