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3114450100 = 225273426637
BaseRepresentation
bin1011100110100010…
…1011110010110100
322001001101110100201
42321220223302310
522334244400400
61233013250244
7140115250306
oct27150536264
98031343321
103114450100
111359031503
1272b033984
133a83172a8
142178b9976
1513365006a
hexb9a2bcb4

3114450100 has 36 divisors (see below), whose sum is σ = 6850953004. Its totient is φ = 1228711680.

The previous prime is 3114450091. The next prime is 3114450109. The reversal of 3114450100 is 10544113.

It is an interprime number because it is at equal distance from previous prime (3114450091) and next prime (3114450109).

It can be written as a sum of positive squares in 6 ways, for example, as 289952784 + 2824497316 = 17028^2 + 53146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114450109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 206019 + ... + 220618.

Almost surely, 23114450100 is an apocalyptic number.

It is an amenable number.

3114450100 is an abundant number, since it is smaller than the sum of its proper divisors (3736502904).

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

3114450100 is a wasteful number, since it uses less digits than its factorization.

3114450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426724 (or 426717 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 3114450100 is about 55807.2584884798. The cubic root of 3114450100 is about 1460.3617824904.

Adding to 3114450100 its reverse (10544113), we get a palindrome (3124994213).

The spelling of 3114450100 in words is "three billion, one hundred fourteen million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 426637 853274 1706548 2133185 4266370 8532740 10665925 21331850 31144501 42663700 62289002 124578004 155722505 311445010 622890020 778612525 1557225050 3114450100