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11003111130120 = 2335173937565651
BaseRepresentation
bin1010000000011101110010…
…0001111100010000001000
31102221212221201210110111220
42200013130201330100020
52420233332422130440
635222432013522040
72213643231305454
oct240073441742010
942855851713456
1011003111130120
11356243642302a
1212985877a3320
1361a786b48155
142a07a6829664
151413398a08d0
hexa01dc87c408

11003111130120 has 128 divisors (see below), whose sum is σ = 33235629920640. Its totient is φ = 2914083993600.

The previous prime is 11003111130073. The next prime is 11003111130149. The reversal of 11003111130120 is 2103111130011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11003111130120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19169295 + ... + 19734945.

It is an arithmetic number, because the mean of its divisors is an integer number (259653358755).

Almost surely, 211003111130120 is an apocalyptic number.

11003111130120 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 11003111130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16617814960320).

11003111130120 is an abundant number, since it is smaller than the sum of its proper divisors (22232518790520).

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

11003111130120 is a wasteful number, since it uses less digits than its factorization.

11003111130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566775 (or 566771 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11003111130120 its reverse (2103111130011), we get a palindrome (13106222260131).

The spelling of 11003111130120 in words is "eleven trillion, three billion, one hundred eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 937 1038 1384 1730 1874 2076 2595 2811 3460 3748 4152 4685 5190 5622 6920 7496 9370 10380 11244 14055 18740 20760 22488 28110 37480 56220 112440 162101 324202 486303 565651 648404 810505 972606 1131302 1296808 1621010 1696953 1945212 2262604 2431515 2828255 3242020 3393906 3890424 4525208 4863030 5656510 6484040 6787812 8484765 9726060 11313020 13575624 16969530 19452120 22626040 33939060 67878120 97857623 195715246 293572869 391430492 489288115 530014987 587145738 782860984 978576230 1060029974 1174291476 1467864345 1590044961 1957152460 2120059948 2348582952 2650074935 2935728690 3180089922 3914304920 4240119896 5300149870 5871457380 6360179844 7950224805 10600299740 11742914760 12720359688 15900449610 21200599480 31800899220 63601798440 91692592751 183385185502 275077778253 366770371004 458462963755 550155556506 733540742008 916925927510 1100311113012 1375388891265 1833851855020 2200622226024 2750777782530 3667703710040 5501555565060 11003111130120