Search a number
-
+
23021123003001 = 3283127724333503
BaseRepresentation
bin1010011110000000001011…
…10110111110001001111001
310000111210112122101111212100
411033000011312332021321
511004134224442044001
6120543431412534013
74564135613603064
oct517000566761171
9100453478344770
1023021123003001
117376226859592
1226b9793621309
13cacb62064486
1459832a6458db
1529dc73c22586
hex14f005dbe279

23021123003001 has 48 divisors (see below), whose sum is σ = 33924051173376. Its totient is φ = 15040591036128.

The previous prime is 23021123002993. The next prime is 23021123003017. The reversal of 23021123003001 is 10030032112032.

23021123003001 is a `hidden beast` number, since 2 + 30 + 21 + 12 + 300 + 300 + 1 = 666.

It is not a de Polignac number, because 23021123003001 - 23 = 23021123002993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23021123013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687119416 + ... + 687152918.

It is an arithmetic number, because the mean of its divisors is an integer number (706751066112).

Almost surely, 223021123003001 is an apocalyptic number.

It is an amenable number.

23021123003001 is a deficient number, since it is larger than the sum of its proper divisors (10902928170375).

23021123003001 is a wasteful number, since it uses less digits than its factorization.

23021123003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40962 (or 40959 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23021123003001 its reverse (10030032112032), we get a palindrome (33051155115033).

The spelling of 23021123003001 in words is "twenty-three trillion, twenty-one billion, one hundred twenty-three million, three thousand, one".

Divisors: 1 3 9 83 127 249 381 747 1143 7243 10541 21729 31623 33503 65187 94869 100509 301527 601169 919861 1803507 2759583 2780749 4254881 5410521 8278749 8342247 12764643 25026741 38293929 76348463 229045389 242662229 353155123 687136167 727986687 1059465369 2183960061 3178396107 20140965007 30818103083 60422895021 92454309249 181268685063 277362927747 2557902555889 7673707667667 23021123003001