Search a number
-
+
232102002033 = 321161271114177
BaseRepresentation
bin1101100000101001011…
…0110111110101110001
3211012002120212100120200
43120022112313311301
512300321103031113
6254343131225413
722524463315446
oct3301226676561
9735076770520
10232102002033
118a4855904a0
1238b965a8269
1318b6c023455
14b33b7779cd
1560868ad873
hex360a5b7d71

232102002033 has 48 divisors (see below), whose sum is σ = 371895518592. Its totient is φ = 138301056000.

The previous prime is 232102001987. The next prime is 232102002037. The reversal of 232102002033 is 330200201232.

It is a happy number.

It is not a de Polignac number, because 232102002033 - 216 = 232101936497 is a prime.

It is a super-2 number, since 2×2321020020332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232102001997 and 232102002015.

It is not an unprimeable number, because it can be changed into a prime (232102002037) 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, 16364641 + ... + 16378817.

It is an arithmetic number, because the mean of its divisors is an integer number (7747823304).

Almost surely, 2232102002033 is an apocalyptic number.

It is an amenable number.

232102002033 is a deficient number, since it is larger than the sum of its proper divisors (139793516559).

232102002033 is a wasteful number, since it uses less digits than its factorization.

232102002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16966 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232102002033 its reverse (330200201232), we get a palindrome (562302203265).

The spelling of 232102002033 in words is "two hundred thirty-two billion, one hundred two million, two thousand, thirty-three".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 2711 6039 8133 14177 24399 29821 42531 89463 127593 155947 165371 268389 467841 496113 864797 1403523 1488339 1819081 2594391 5457243 7783173 9512767 16371729 28538301 38433847 85614903 115301541 345904623 422772317 1268316951 2344464667 3804950853 7033394001 21100182003 25789111337 77367334011 232102002033