Search a number
-
+
101033203323 = 31319409333367
BaseRepresentation
bin101111000011000001…
…1000101011001111011
3100122210011210111202110
41132012003011121323
53123404000001243
6114225232103403
710204461026043
oct1360603053173
9318704714673
10101033203323
1139936678048
12176b7994b63
1396b18a3960
144c66372723
152964cc8e33
hex17860c567b

101033203323 has 32 divisors (see below), whose sum is σ = 153082585600. Its totient is φ = 58757757696.

The previous prime is 101033203307. The next prime is 101033203343. The reversal of 101033203323 is 323302330101.

It is not a de Polignac number, because 101033203323 - 24 = 101033203307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101033203323.

It is not an unprimeable number, because it can be changed into a prime (101033203303) 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, 136386 + ... + 469752.

It is an arithmetic number, because the mean of its divisors is an integer number (4783830800).

Almost surely, 2101033203323 is an apocalyptic number.

101033203323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101033203323 is a deficient number, since it is larger than the sum of its proper divisors (52049382277).

101033203323 is a wasteful number, since it uses less digits than its factorization.

101033203323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333811.

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

Adding to 101033203323 its reverse (323302330101), we get a palindrome (424335533424).

The spelling of 101033203323 in words is "one hundred one billion, thirty-three million, two hundred three thousand, three hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 409 741 1227 5317 7771 15951 23313 101023 303069 333367 1000101 4333771 6333973 13001313 19001919 82341649 136347103 247024947 409041309 1772512339 2590594957 5317537017 7771784871 33677734441 101033203323