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10103303200100 = 22521173246751001
BaseRepresentation
bin1001001100000101101111…
…0011000101110101100100
31022202212101120102112202112
42103001123303011311210
52311013031104400400
633253220551100152
72061640162143635
oct223013363056544
938685346375675
1010103303200100
11324587229a260
121172107971658
135839780caa26
1426d006b5d88c
15127c24163835
hex9305bcc5d64

10103303200100 has 144 divisors (see below), whose sum is σ = 24255211275456. Its totient is φ = 3622060800000.

The previous prime is 10103303200049. The next prime is 10103303200103. The reversal of 10103303200100 is 100230330101.

It is not an unprimeable number, because it can be changed into a prime (10103303200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198074600 + ... + 198125600.

Almost surely, 210103303200100 is an apocalyptic number.

10103303200100 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 10103303200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127605637728).

10103303200100 is an abundant number, since it is smaller than the sum of its proper divisors (14151908075356).

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

10103303200100 is a wasteful number, since it uses less digits than its factorization.

10103303200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53566 (or 53559 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10103303200100 its reverse (100230330101), we get a palindrome (10203533530201).

The spelling of 10103303200100 in words is "ten trillion, one hundred three billion, three hundred three million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 2467 3212 3650 4015 4934 7300 8030 9868 12335 16060 20075 24670 27137 40150 49340 51001 54274 61675 80300 102002 108548 123350 135685 180091 204004 246700 255005 271370 360182 510010 542740 561011 678425 720364 900455 1020020 1122022 1275025 1356850 1800910 1981001 2244044 2550050 2713700 2805055 3601820 3723073 3962002 4502275 5100100 5610110 7446146 7924004 9004550 9905005 11220220 14025275 14892292 18009100 18615365 19810010 28050550 37230730 39620020 40953803 49525025 56101100 74461460 81907606 93076825 99050050 125819467 163815212 186153650 198100100 204769015 251638934 372307300 409538030 503277868 629097335 819076060 1023845075 1258194670 1384014137 2047690150 2516389340 2768028274 3145486675 4095380300 5536056548 6290973350 6920070685 9184821091 12581946700 13840141370 18369642182 27680282740 34600353425 36739284364 45924105455 69200706850 91848210910 101033032001 138401413700 183696421820 202066064002 229620527275 404132128004 459241054550 505165160005 918482109100 1010330320010 2020660640020 2525825800025 5051651600050 10103303200100