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1012132130130 = 233511732146549
BaseRepresentation
bin11101011101001111100…
…01101010110101010010
310120202111020011111022000
432232213301222311102
5113040321311131010
62052544520054430
7133060402104552
oct16564761526522
93522436144260
101012132130130
11360274223920
121441a9004416
137459c913574
1436db781b162
151b4db8d67c0
hexeba7c6ad52

1012132130130 has 128 divisors (see below), whose sum is σ = 2944849824000. Its totient is φ = 245326579200.

The previous prime is 1012132130117. The next prime is 1012132130161. The reversal of 1012132130130 is 310312312101.

1012132130130 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 321 + 301 + 30 = 666.

It is a super-2 number, since 2×10121321301302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 21720096 + ... + 21766644.

It is an arithmetic number, because the mean of its divisors is an integer number (23006639250).

Almost surely, 21012132130130 is an apocalyptic number.

1012132130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012132130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472424912000).

1012132130130 is an abundant number, since it is smaller than the sum of its proper divisors (1932717693870).

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

1012132130130 is a wasteful number, since it uses less digits than its factorization.

1012132130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53897 (or 53891 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012132130130 its reverse (310312312101), we get a palindrome (1322444442231).

The spelling of 1012132130130 in words is "one trillion, twelve billion, one hundred thirty-two million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 7321 14642 21963 36605 43926 46549 65889 73210 80531 93098 109815 131778 139647 161062 197667 219630 232745 241593 279294 329445 395334 402655 418941 465490 483186 512039 658890 698235 724779 805310 837882 988335 1024078 1207965 1256823 1396470 1449558 1536117 1976670 2094705 2174337 2415930 2513646 2560195 3072234 3623895 4189410 4348674 4608351 5120390 6284115 7247790 7680585 9216702 10871685 12568230 13825053 15361170 21743370 23041755 27650106 46083510 69125265 138250530 340785229 681570458 1022355687 1703926145 2044711374 3067067061 3407852290 3748637519 5111778435 6134134122 7497275038 9201201183 10223556870 11245912557 15335335305 18402402366 18743187595 22491825114 30670670610 33737737671 37486375190 46006005915 56229562785 67475475342 92012011830 101213213013 112459125570 168688688355 202426426026 337377376710 506066065065 1012132130130