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3134333010 = 2351728121871
BaseRepresentation
bin1011101011010010…
…0010000001010010
322002102210121120210
42322310202001102
522404342124020
61235003344550
7140446251054
oct27264420122
98072717523
103134333010
111369281866
12735822156
133ac489323
1421a3b38d4
1513527b3e0
hexbad22052

3134333010 has 64 divisors (see below), whose sum is σ = 7993603584. Its totient is φ = 783820800.

The previous prime is 3134332973. The next prime is 3134333023. The reversal of 3134333010 is 103334313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132375 + ... + 154245.

It is an arithmetic number, because the mean of its divisors is an integer number (124900056).

Almost surely, 23134333010 is an apocalyptic number.

3134333010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134333010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996801792).

3134333010 is an abundant number, since it is smaller than the sum of its proper divisors (4859270574).

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

3134333010 is a wasteful number, since it uses less digits than its factorization.

3134333010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22179.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3134333010 is about 55985.1141822538. The cubic root of 3134333010 is about 1463.4628831929.

Adding to 3134333010 its reverse (103334313), we get a palindrome (3237667323).

It can be divided in two parts, 31 and 34333010, that added together give a triangular number (34333041 = T8286).

The spelling of 3134333010 in words is "three billion, one hundred thirty-four million, three hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 281 510 562 843 1405 1686 2810 4215 4777 8430 9554 14331 21871 23885 28662 43742 47770 65613 71655 109355 131226 143310 218710 328065 371807 656130 743614 1115421 1859035 2230842 3718070 5577105 6145751 11154210 12291502 18437253 30728755 36874506 61457510 92186265 104477767 184372530 208955534 313433301 522388835 626866602 1044777670 1567166505 3134333010