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3000131397 = 32333347933
BaseRepresentation
bin1011001011010010…
…0101111101000101
321202002021110120200
42302310211331011
522121013201042
61213411121113
7134226460524
oct26264457505
97662243520
103000131397
1112aa55013a
126b88a3199
1338a72c2a3
1420663c4bb
151285bcc4c
hexb2d25f45

3000131397 has 6 divisors (see below), whose sum is σ = 4333523142. Its totient is φ = 2000087592.

The previous prime is 3000131383. The next prime is 3000131411. The reversal of 3000131397 is 7931310003.

It is an interprime number because it is at equal distance from previous prime (3000131383) and next prime (3000131411).

It can be written as a sum of positive squares in only one way, i.e., 1865721636 + 1134409761 = 43194^2 + 33681^2 .

It is not a de Polignac number, because 3000131397 - 230 = 1926389573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3000131397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000131327) 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 5 ways as a sum of consecutive naturals, for example, 166673958 + ... + 166673975.

It is an arithmetic number, because the mean of its divisors is an integer number (722253857).

Almost surely, 23000131397 is an apocalyptic number.

It is an amenable number.

3000131397 is a deficient number, since it is larger than the sum of its proper divisors (1333391745).

3000131397 is a wasteful number, since it uses less digits than its factorization.

3000131397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333347939 (or 333347936 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 3000131397 is about 54773.4552223976. The cubic root of 3000131397 is about 1442.2706263630.

The spelling of 3000131397 in words is "three billion, one hundred thirty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 333347933 1000043799 3000131397