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103748410000 = 245432212
BaseRepresentation
bin110000010011111100…
…0110001101010010000
3100220210101221022002201
41200213320301222100
53144434043110000
6115354504252544
710331660635354
oct1404770615220
9326711838081
10103748410000
113aaaa300004
1218135171154
139a25282b21
145042c03464
152a7336496a
hex1827e31a90

103748410000 has 75 divisors (see below), whose sum is σ = 251263283293. Its totient is φ = 41486480000.

The previous prime is 103748409979. The next prime is 103748410001. The reversal of 103748410000 is 14847301.

The square root of 103748410000 is 322100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 51552610704 + 52195799296 = 227052^2 + 228464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103748410001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32208390 + ... + 32211610.

Almost surely, 2103748410000 is an apocalyptic number.

103748410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103748410000 is the 322100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103748410000

103748410000 is an abundant number, since it is smaller than the sum of its proper divisors (147514873293).

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

103748410000 is an frugal number, since it uses more digits than its factorization.

103748410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 103748410000 in words is "one hundred three billion, seven hundred forty-eight million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3221 5000 6442 10000 12884 16105 25768 32210 51536 64420 80525 128840 161050 257680 322100 402625 644200 805250 1288400 1610500 2013125 3221000 4026250 6442000 8052500 10374841 16105000 20749682 32210000 41499364 51874205 82998728 103748410 165997456 207496820 259371025 414993640 518742050 829987280 1037484100 1296855125 2074968200 2593710250 4149936400 5187420500 6484275625 10374841000 12968551250 20749682000 25937102500 51874205000 103748410000