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23034312132111 = 3271783457567011
BaseRepresentation
bin1010011110011000101111…
…11111100000011000001111
310000120001120211001200200200
411033030113333200120033
511004343232401211421
6120553452241424543
74565113504420410
oct517142777403017
9100501524050620
1023034312132111
117380884771495
12270025463b153
13cb1184685397
14598c1c163807
1529e296a82726
hex14f317fe060f

23034312132111 has 96 divisors (see below), whose sum is σ = 40835968363008. Its totient is φ = 12212143441920.

The previous prime is 23034312132049. The next prime is 23034312132119. The reversal of 23034312132111 is 11123121343032.

23034312132111 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 431 + 2 + 13 + 211 + 1 = 666.

It is not a de Polignac number, because 23034312132111 - 219 = 23034311607823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23034312132119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40340596 + ... + 40907606.

It is an arithmetic number, because the mean of its divisors is an integer number (425374670448).

Almost surely, 223034312132111 is an apocalyptic number.

23034312132111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23034312132111 is a deficient number, since it is larger than the sum of its proper divisors (17801656230897).

23034312132111 is a wasteful number, since it uses less digits than its factorization.

23034312132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567581 (or 567578 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 23034312132111 its reverse (11123121343032), we get a palindrome (34157433475143).

The spelling of 23034312132111 in words is "twenty-three trillion, thirty-four billion, three hundred twelve million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 7 9 17 21 51 63 83 119 153 249 357 457 581 747 1071 1371 1411 1743 3199 4113 4233 5229 7769 9597 9877 12699 23307 28791 29631 37931 54383 69921 88893 113793 163149 265517 341379 489447 567011 644827 796551 1701033 1934481 2389653 3969077 4513789 5103099 5803443 9639187 11907231 13541367 28917561 35721693 40624101 47061913 67474309 86752683 141185739 202422927 259124027 329433391 423557217 607268781 777372081 800052521 988300173 1813868189 2332116243 2400157563 2964900519 4405108459 5441604567 5600367647 7200472689 13215325377 16324813701 16801102941 21507294241 30835759213 39645976131 50403308823 64521882723 92507277639 150551059687 193565648169 277521832917 365624002097 451653179061 1096872006291 1354959537183 2559368014679 3290616018873 7678104044037 23034312132111