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3135424212 = 2232601144917
BaseRepresentation
bin1011101011100010…
…1100011011010100
322002111212001102200
42322320230123110
522410132033322
61235043004500
7140461444314
oct27270543324
98074761380
103135424212
111369957688
12736069730
133ac77bbcb
1421a5b9444
151353e48ac
hexbae2c6d4

3135424212 has 36 divisors (see below), whose sum is σ = 7938897876. Its totient is φ = 1043395200.

The previous prime is 3135424211. The next prime is 3135424267. The reversal of 3135424212 is 2124245313.

It can be written as a sum of positive squares in 2 ways, for example, as 2675579076 + 459845136 = 51726^2 + 21444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135424211) 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, 50823 + ... + 94094.

It is an arithmetic number, because the mean of its divisors is an integer number (220524941).

Almost surely, 23135424212 is an apocalyptic number.

It is an amenable number.

3135424212 is an abundant number, since it is smaller than the sum of its proper divisors (4803473664).

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

3135424212 is a wasteful number, since it uses less digits than its factorization.

3135424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145528 (or 145523 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3135424212 is about 55994.8587997148. The cubic root of 3135424212 is about 1463.6326958595.

Adding to 3135424212 its reverse (2124245313), we get a palindrome (5259669525).

The spelling of 3135424212 in words is "three billion, one hundred thirty-five million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 601 1202 1803 2404 3606 5409 7212 10818 21636 144917 289834 434751 579668 869502 1304253 1739004 2608506 5217012 87095117 174190234 261285351 348380468 522570702 783856053 1045141404 1567712106 3135424212