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3082520100 = 223521119211233
BaseRepresentation
bin1011011110111011…
…1000011000100100
321221211022020122010
42313232320120210
522303111120400
61225513034220
7136246663032
oct26756703044
97854266563
103082520100
111342002a80
127203b5970
133a18179ba
14213567552
15130944450
hexb7bb8624

3082520100 has 288 divisors, whose sum is σ = 10334338560. Its totient is φ = 701568000.

The previous prime is 3082520069. The next prime is 3082520131. The reversal of 3082520100 is 10252803.

It is an interprime number because it is at equal distance from previous prime (3082520069) and next prime (3082520131).

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 95 ways as a sum of consecutive naturals, for example, 13229584 + ... + 13229816.

It is an arithmetic number, because the mean of its divisors is an integer number (35883120).

Almost surely, 23082520100 is an apocalyptic number.

3082520100 is a gapful number since it is divisible by the number (30) 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 3082520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167169280).

3082520100 is an abundant number, since it is smaller than the sum of its proper divisors (7251818460).

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

3082520100 is a wasteful number, since it uses less digits than its factorization.

3082520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3082520100 is about 55520.4475846512. The cubic root of 3082520100 is about 1455.3539838533.

Adding to 3082520100 its reverse (10252803), we get a palindrome (3092772903).

The spelling of 3082520100 in words is "three billion, eighty-two million, five hundred twenty thousand, one hundred".