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103303100000 = 25555917509
BaseRepresentation
bin110000000110101011…
…0000011011001100000
3100212122101000012121202
41200031112003121200
53143031043200000
6115242355540332
710314642601442
oct1401526033140
9325571005552
10103303100000
113a8a09a8011
121802bbba6a8
139983c38a99
144ddda06492
152a49200dd5
hex180d583660

103303100000 has 144 divisors (see below), whose sum is σ = 258529546800. Its totient is φ = 40618560000.

The previous prime is 103303099993. The next prime is 103303100051. The reversal of 103303100000 is 1303301.

103303100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033031000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5891246 + ... + 5908754.

It is an arithmetic number, because the mean of its divisors is an integer number (1795344075).

Almost surely, 2103303100000 is an apocalyptic number.

103303100000 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 103303100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129264773400).

103303100000 is an abundant number, since it is smaller than the sum of its proper divisors (155226446800).

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

103303100000 is an frugal number, since it uses more digits than its factorization.

103303100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17575 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 103303100000 its reverse (1303301), we get a palindrome (103304403301).

The spelling of 103303100000 in words is "one hundred three billion, three hundred three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 625 800 944 1000 1180 1250 1475 1888 2000 2360 2500 2950 3125 4000 4720 5000 5900 6250 7375 9440 10000 11800 12500 14750 17509 20000 23600 25000 29500 35018 36875 47200 50000 59000 70036 73750 87545 100000 118000 140072 147500 175090 184375 236000 280144 295000 350180 368750 437725 560288 590000 700360 737500 875450 1033031 1180000 1400720 1475000 1750900 2066062 2188625 2801440 2950000 3501800 4132124 4377250 5165155 5900000 7003600 8264248 8754500 10330310 10943125 14007200 16528496 17509000 20660620 21886250 25825775 33056992 35018000 41321240 43772500 51651550 54715625 70036000 82642480 87545000 103303100 109431250 129128875 165284960 175090000 206606200 218862500 258257750 350180000 413212400 437725000 516515500 645644375 826424800 875450000 1033031000 1291288750 1750900000 2066062000 2582577500 3228221875 4132124000 5165155000 6456443750 10330310000 12912887500 20660620000 25825775000 51651550000 103303100000