Search a number
-
+
3134768121 = 3462212
BaseRepresentation
bin1011101011011000…
…1100001111111001
322002110121201110000
42322312030033321
522410000034441
61235020543213
7140453042442
oct27266141771
98073551400
103134768121
111369549761
127359b1b09
133ac5ac3a4
1421a4882c9
151353152b6
hexbad8c3f9

3134768121 has 15 divisors (see below), whose sum is σ = 4683554623. Its totient is φ = 2089509480.

The previous prime is 3134768113. The next prime is 3134768129. The reversal of 3134768121 is 1218674313.

It is a happy number.

The square root of 3134768121 is 55989.

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

It is an interprime number because it is at equal distance from previous prime (3134768113) and next prime (3134768129).

It can be written as a sum of positive squares in only one way, i.e., 120758121 + 3014010000 = 10989^2 + 54900^2 .

It is not a de Polignac number, because 3134768121 - 23 = 3134768113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3134768129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 500791 + ... + 507011.

Almost surely, 23134768121 is an apocalyptic number.

3134768121 is the 55989-th square number.

3134768121 is the 27995-th centered octagonal number.

It is an amenable number.

3134768121 is a deficient number, since it is larger than the sum of its proper divisors (1548786502).

3134768121 is an frugal number, since it uses more digits than its factorization.

3134768121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 6224 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 3134768121 is about 1463.5305998153.

Multiplying 3134768121 by its sum of digits (36), we get a square (112851652356 = 3359342).

The spelling of 3134768121 in words is "three billion, one hundred thirty-four million, seven hundred sixty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 6221 18663 55989 167967 503901 38700841 116102523 348307569 1044922707 3134768121