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1030111100300 = 2252194394113399
BaseRepresentation
bin11101111110101110110…
…01111111110110001100
310122110220012202210211002
432333113121333312030
5113334131420202200
62105120531515432
7134265053611322
oct16772731776614
93573805683732
101030111100300
1136795a952257
12147786158b78
13761a668ca59
1437c01531d12
151bbdeed8bd5
hexefd767fd8c

1030111100300 has 144 divisors (see below), whose sum is σ = 2410449888000. Its totient is φ = 380846188800.

The previous prime is 1030111100297. The next prime is 1030111100321. The reversal of 1030111100300 is 30011110301.

It is a happy number.

It is a super-2 number, since 2×10301111003002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76873001 + ... + 76886399.

Almost surely, 21030111100300 is an apocalyptic number.

1030111100300 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 1030111100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205224944000).

1030111100300 is an abundant number, since it is smaller than the sum of its proper divisors (1380338787700).

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

1030111100300 is a wasteful number, since it uses less digits than its factorization.

1030111100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1030111100300 its reverse (30011110301), we get a palindrome (1060122210601).

The spelling of 1030111100300 in words is "one trillion, thirty billion, one hundred eleven million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 941 950 1075 1634 1882 1900 2150 3268 3764 4085 4300 4705 8170 9410 13399 16340 17879 18820 20425 23525 26798 35758 40463 40850 47050 53596 66995 71516 80926 81700 89395 94100 133990 161852 178790 202315 254581 267980 334975 357580 404630 446975 509162 576157 669950 768797 809260 893950 1011575 1018324 1152314 1272905 1339900 1537594 1787900 2023150 2304628 2545810 2880785 3075188 3843985 4046300 5091620 5761570 6364525 7687970 10946983 11523140 12608459 12729050 14403925 15375940 19219925 21893966 25216918 25458100 28807850 38439850 43787932 50433836 54734915 57615700 63042295 76879700 109469830 126084590 218939660 239560721 252169180 273674575 315211475 479121442 542163737 547349150 630422950 958242884 1084327474 1094698300 1197803605 1260845900 2168654948 2395607210 2710818685 4791214420 5421637370 5989018025 10301111003 10843274740 11978036050 13554093425 20602222006 23956072100 27108186850 41204444012 51505555015 54216373700 103011110030 206022220060 257527775075 515055550150 1030111100300