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10030103100 = 22335213032851
BaseRepresentation
bin10010101011101011…
…10011101000111100
3221220000102000211000
421111311303220330
5131020201244400
64335135530300
7503361320043
oct112565635074
927800360730
1010030103100
114287805a06
121b3b089990
13c3acca364
146b215b55a
153da857600
hex255d73a3c

10030103100 has 144 divisors (see below), whose sum is σ = 32280989440. Its totient is φ = 2671704000.

The previous prime is 10030103087. The next prime is 10030103117. The reversal of 10030103100 is 130103001.

It is a super-2 number, since 2×100301031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3516675 + ... + 3519525.

Almost surely, 210030103100 is an apocalyptic number.

10030103100 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 10030103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140494720).

10030103100 is an abundant number, since it is smaller than the sum of its proper divisors (22250886340).

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

10030103100 is a wasteful number, since it uses less digits than its factorization.

10030103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4164 counting only the distinct ones).

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

Adding to 10030103100 its reverse (130103001), we get a palindrome (10160206101).

Subtracting from 10030103100 its reverse (130103001), we obtain a palindrome (9900000099).

The spelling of 10030103100 in words is "ten billion, thirty million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1303 1350 2606 2700 2851 3909 5212 5702 6515 7818 8553 11404 11727 13030 14255 15636 17106 19545 23454 25659 26060 28510 32575 34212 35181 39090 42765 46908 51318 57020 58635 65150 70362 71275 76977 78180 85530 97725 102636 117270 128295 130300 140724 142550 153954 171060 175905 195450 213825 234540 256590 285100 293175 307908 351810 384885 390900 427650 513180 586350 641475 703620 769770 855300 879525 1172700 1282950 1539540 1759050 1924425 2565900 3518100 3714853 3848850 7429706 7697700 11144559 14859412 18574265 22289118 33433677 37148530 44578236 55722795 66867354 74297060 92871325 100301031 111445590 133734708 167168385 185742650 200602062 222891180 278613975 334336770 371485300 401204124 501505155 557227950 668673540 835841925 1003010310 1114455900 1671683850 2006020620 2507525775 3343367700 5015051550 10030103100