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3101005020 = 22351731101971
BaseRepresentation
bin1011100011010101…
…1001010011011100
322000010002101011210
42320311121103130
522322324130040
61231413144420
7136563051651
oct27065312334
98003071153
103101005020
111351488a73
1272662b110
133a55ba619
14215bb9c28
15132396480
hexb8d594dc

3101005020 has 192 divisors, whose sum is σ = 9593966592. Its totient is φ = 744960000.

The previous prime is 3101005009. The next prime is 3101005031. The reversal of 3101005020 is 205001013.

3101005020 = 134982 + 134992 + ... + 135142.

It is an interprime number because it is at equal distance from previous prime (3101005009) and next prime (3101005031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3101004987 and 3101005005.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 3193135 + ... + 3194105.

It is an arithmetic number, because the mean of its divisors is an integer number (49968576).

Almost surely, 23101005020 is an apocalyptic number.

3101005020 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 3101005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796983296).

3101005020 is an abundant number, since it is smaller than the sum of its proper divisors (6492961572).

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

3101005020 is a wasteful number, since it uses less digits than its factorization.

3101005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 3101005020 is about 55686.6682429466. The cubic root of 3101005020 is about 1458.2572907796.

Adding to 3101005020 its reverse (205001013), we get a palindrome (3306006033).

The spelling of 3101005020 in words is "three billion, one hundred one million, five thousand, twenty".