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203680716100 = 2252451312
BaseRepresentation
bin1011110110110001010…
…0010001010101000100
3201110201212012102202221
42331230110101111010
511314114230403400
6233323012342124
720500253343511
oct2755424212504
9643655172687
10203680716100
11794204aa734
1233584314944
131628ca505b4
149c02c82308
15547167bc1a
hex2f6c511544

203680716100 has 27 divisors (see below), whose sum is σ = 441996947581. Its totient is φ = 81470481200.

The previous prime is 203680716097. The next prime is 203680716119. The reversal of 203680716100 is 1617086302.

The square root of 203680716100 is 451310.

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

It can be written as a sum of positive squares in only one way, i.e., 73325057796 + 130355658304 = 270786^2 + 361048^2 .

It is a super-2 number, since 2×2036807161002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4490535 + ... + 4535665.

Almost surely, 2203680716100 is an apocalyptic number.

203680716100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

203680716100 is the 451310-th square number.

It is an amenable number.

203680716100 is an abundant number, since it is smaller than the sum of its proper divisors (238316231481).

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

203680716100 is an frugal number, since it uses more digits than its factorization.

203680716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90276 (or 45138 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 203680716100 in words is "two hundred three billion, six hundred eighty million, seven hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 45131 90262 180524 225655 451310 902620 1128275 2256550 4513100 2036807161 4073614322 8147228644 10184035805 20368071610 40736143220 50920179025 101840358050 203680716100