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11044130002000 = 245317691470083
BaseRepresentation
bin1010000010110110100101…
…1100100001010001010000
31110002210211102001001110221
42200231221130201101100
52421421334240031000
635253334150402424
72216624560050304
oct240555134412120
943083742031427
1011044130002000
113578875514647
1212a4514960414
136215c3014684
142a2778457d04
1514243aa4561a
hexa0b69721450

11044130002000 has 160 divisors (see below), whose sum is σ = 28316551446144. Its totient is φ = 4151764224000.

The previous prime is 11044130001979. The next prime is 11044130002007. The reversal of 11044130002000 is 20003144011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044130002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23258959 + ... + 23729041.

Almost surely, 211044130002000 is an apocalyptic number.

11044130002000 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 11044130002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158275723072).

11044130002000 is an abundant number, since it is smaller than the sum of its proper divisors (17272421444144).

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

11044130002000 is a wasteful number, since it uses less digits than its factorization.

11044130002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470814 (or 470798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11044130002000 its reverse (20003144011), we get a palindrome (11064133146011).

The spelling of 11044130002000 in words is "eleven trillion, forty-four billion, one hundred thirty million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 691 850 1000 1360 1382 1700 2000 2125 2764 3400 3455 4250 5528 6800 6910 8500 11056 11747 13820 17000 17275 23494 27640 34000 34550 46988 55280 58735 69100 86375 93976 117470 138200 172750 187952 234940 276400 293675 345500 469880 470083 587350 691000 939760 940166 1174700 1382000 1468375 1880332 2349400 2350415 2936750 3760664 4698800 4700830 5873500 7521328 7991411 9401660 11747000 11752075 15982822 18803320 23494000 23504150 31965644 37606640 39957055 47008300 58760375 63931288 79914110 94016600 117520750 127862576 159828220 188033200 199785275 235041500 319656440 324827353 399570550 470083000 639312880 649654706 799141100 940166000 998926375 1299309412 1598282200 1624136765 1997852750 2598618824 3196564400 3248273530 3995705500 5197237648 5522065001 6496547060 7991411000 8120683825 11044130002 12993094120 15982822000 16241367650 22088260004 25986188240 27610325005 32482735300 40603419125 44176520008 55220650010 64965470600 81206838250 88353040016 110441300020 129930941200 138051625025 162413676500 220882600040 276103250050 324827353000 441765200080 552206500100 649654706000 690258125125 1104413000200 1380516250250 2208826000400 2761032500500 5522065001000 11044130002000