Search a number
-
+
23133120311 = 7172179193331
BaseRepresentation
bin10101100010110101…
…110110011100110111
32012201012001021022202
4111202311312130313
5334334034322221
614343251015115
71446155164310
oct254265663467
965635037282
1023133120311
1198a1052754
12459729a49b
13224882ac92
141196461607
15905d57d0b
hex562d76737

23133120311 has 48 divisors (see below), whose sum is σ = 28473488640. Its totient is φ = 18405826560.

The previous prime is 23133120301. The next prime is 23133120401. The reversal of 23133120311 is 11302133132.

It is not a de Polignac number, because 23133120311 - 26 = 23133120247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133120301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69888416 + ... + 69888746.

It is an arithmetic number, because the mean of its divisors is an integer number (593197680).

Almost surely, 223133120311 is an apocalyptic number.

23133120311 is a deficient number, since it is larger than the sum of its proper divisors (5340368329).

23133120311 is a wasteful number, since it uses less digits than its factorization.

23133120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 23133120311 its reverse (11302133132), we get a palindrome (34435253443).

The spelling of 23133120311 in words is "twenty-three billion, one hundred thirty-three million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 7 17 119 179 193 289 331 1253 1351 2023 2317 3043 3281 5627 21301 22967 34547 39389 51731 55777 59249 63883 95659 241829 362117 390439 414743 447181 587299 669613 1007233 1086011 4111093 7050631 7602077 9984083 11435057 17122961 18462187 69888581 80045399 119860727 129235309 194395969 1360771783 3304731473 23133120311