Search a number
-
+
329013060123 = 311173571164233
BaseRepresentation
bin1001100100110101011…
…01001110001000011011
31011110020111010012010110
410302122231032020123
520342304320410443
6411051351415403
732525151603426
oct4623255161033
91143214105113
10329013060123
11117596327840
1253921984563
13250448aa1c7
1411cd247c9bd
158859836233
hex4c9ab4e21b

329013060123 has 32 divisors (see below), whose sum is σ = 506860284672. Its totient is φ = 187618636800.

The previous prime is 329013060119. The next prime is 329013060127. The reversal of 329013060123 is 321060310923.

It is an interprime number because it is at equal distance from previous prime (329013060119) and next prime (329013060127).

It is not a de Polignac number, because 329013060123 - 22 = 329013060119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (329013060127) 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 31 ways as a sum of consecutive naturals, for example, 1921215 + ... + 2085447.

It is an arithmetic number, because the mean of its divisors is an integer number (15839383896).

Almost surely, 2329013060123 is an apocalyptic number.

329013060123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

329013060123 is a deficient number, since it is larger than the sum of its proper divisors (177847224549).

329013060123 is a wasteful number, since it uses less digits than its factorization.

329013060123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167835.

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 329013060123 in words is "three hundred twenty-nine billion, thirteen million, sixty thousand, one hundred twenty-three".

Divisors: 1 3 11 17 33 51 187 561 3571 10713 39281 60707 117843 164233 182121 492699 667777 1806563 2003331 2791961 5419689 8375883 30711571 92134713 586476043 1759428129 6451236473 9970092731 19353709419 29910278193 109671020041 329013060123