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11030113113000 = 233539413907231
BaseRepresentation
bin1010000010000010010111…
…1110010101001110101000
31110001110122112210022112220
42200200211332111032220
52421204132424104000
635243055232034040
72215620325340562
oct240404576251650
943043575708486
1011030113113000
113572932330463
1212a1862692920
1362019b071407
142a1c08a26332
15141dba1c81a0
hexa0825f953a8

11030113113000 has 128 divisors (see below), whose sum is σ = 34450533411840. Its totient is φ = 2938236960000.

The previous prime is 11030113112903. The next prime is 11030113113017. The reversal of 11030113113000 is 31131103011.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 869385 + ... + 4776615.

It is an arithmetic number, because the mean of its divisors is an integer number (269144792280).

Almost surely, 211030113113000 is an apocalyptic number.

11030113113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030113113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225266705920).

11030113113000 is an abundant number, since it is smaller than the sum of its proper divisors (23420420298840).

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

11030113113000 is a wasteful number, since it uses less digits than its factorization.

11030113113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908196 (or 3908182 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11030113113000 its reverse (31131103011), we get a palindrome (11061244216011).

The spelling of 11030113113000 in words is "eleven trillion, thirty billion, one hundred thirteen million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 941 1000 1500 1882 2823 3000 3764 4705 5646 7528 9410 11292 14115 18820 22584 23525 28230 37640 47050 56460 70575 94100 112920 117625 141150 188200 235250 282300 352875 470500 564600 705750 941000 1411500 2823000 3907231 7814462 11721693 15628924 19536155 23443386 31257848 39072310 46886772 58608465 78144620 93773544 97680775 117216930 156289240 195361550 234433860 293042325 390723100 468867720 488403875 586084650 781446200 976807750 1172169300 1465211625 1953615500 2344338600 2930423250 3676704371 3907231000 5860846500 7353408742 11030113113 11721693000 14706817484 18383521855 22060226226 29413634968 36767043710 44120452452 55150565565 73534087420 88240904904 91917609275 110301131130 147068174840 183835218550 220602262260 275752827825 367670437100 441204524520 459588046375 551505655650 735340874200 919176092750 1103011311300 1378764139125 1838352185500 2206022622600 2757528278250 3676704371000 5515056556500 11030113113000