Search a number
-
+
12133023133002 = 238921059724091
BaseRepresentation
bin1011000010001111000010…
…0010001010110101001010
31120221220110020120102021020
42300203300202022311022
53042241412410224002
641445500041253310
72361403424000502
oct260436042126512
946856406512236
1012133023133002
11395864a284562
12143b564a94236
136a01a69b80c5
142dd354792a02
1516091b3972bc
hexb08f088ad4a

12133023133002 has 48 divisors (see below), whose sum is σ = 24545096702112. Its totient is φ = 3998355672960.

The previous prime is 12133023132983. The next prime is 12133023133003. The reversal of 12133023133002 is 20033132033121.

It is a super-4 number, since 4×121330231330024 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133023133003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503620977 + ... + 503645067.

It is an arithmetic number, because the mean of its divisors is an integer number (511356181294).

Almost surely, 212133023133002 is an apocalyptic number.

12133023133002 is an abundant number, since it is smaller than the sum of its proper divisors (12412073569110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133023133002 is a wasteful number, since it uses less digits than its factorization.

12133023133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34871 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12133023133002 its reverse (20033132033121), we get a palindrome (32166155166123).

The spelling of 12133023133002 in words is "twelve trillion, one hundred thirty-three billion, twenty-three million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 89 178 267 534 7921 10597 15842 21194 23763 24091 31791 47526 48182 63582 72273 144546 943133 1886266 2144099 2829399 4288198 5658798 6432297 12864594 83938837 167877674 190824811 251816511 255292327 381649622 503633022 510584654 572474433 765876981 1144948866 1531753962 22721017103 45442034206 68163051309 136326102618 2022170522167 4044341044334 6066511566501 12133023133002