Search a number
-
+
132013221311002 = 2415344967652113
BaseRepresentation
bin11110000001000010111001…
…001010010111001000011010
3122022102100012101002022211011
4132001002321022113020122
5114300401034123423002
61144434011525324134
736543432455410663
oct3601027112271032
9568370171068734
10132013221311002
1139077546941719
121298106886664a
135887a40cc75b5
14248568c94636a
15103de781418d7
hex7810b929721a

132013221311002 has 32 divisors (see below), whose sum is σ = 207137242645200. Its totient is φ = 63040944046080.

The previous prime is 132013221310979. The next prime is 132013221311009. The reversal of 132013221311002 is 200113122310231.

132013221311002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 43635153587481 + 88378067723521 = 6605691^2 + 9400961^2 .

It is a super-2 number, since 2×1320132213110022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132013221311009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31874703 + ... + 35777410.

Almost surely, 2132013221311002 is an apocalyptic number.

132013221311002 is a deficient number, since it is larger than the sum of its proper divisors (75124021334198).

132013221311002 is a wasteful number, since it uses less digits than its factorization.

132013221311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67652658.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132013221311002 its reverse (200113122310231), we get a palindrome (332126343621233).

The spelling of 132013221311002 in words is "one hundred thirty-two trillion, thirteen billion, two hundred twenty-one million, three hundred eleven thousand, two".

Divisors: 1 2 41 53 82 106 449 898 2173 4346 18409 23797 36818 47594 975677 1951354 67652113 135304226 2773736633 3585561989 5547473266 7171123978 30375798737 60751597474 147008041549 294016083098 1245407748217 1609917333061 2490815496434 3219834666122 66006610655501 132013221311002