Search a number
-
+
345234530135133 = 33291742572530243
BaseRepresentation
bin100111001111111010010110…
…1100010000110110001011101
31200021101002122222211000121000
41032133310231202012301131
5330222310304203311013
63222130315331500513
7132501241330543002
oct11637645542066135
91607332588730530
10345234530135133
11a0003162019911
1232878921757739
1311a83626b42c12
1461376246d58a9
1529da5208dc973
hex139fd2d886c5d

345234530135133 has 32 divisors (see below), whose sum is σ = 529098310742400. Its totient is φ = 222218564375808.

The previous prime is 345234530135113. The next prime is 345234530135167. The reversal of 345234530135133 is 331531035432543.

It is a happy number.

345234530135133 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 34 + 530 + 1 + 3 + 51 + 33 = 666.

It is not a de Polignac number, because 345234530135133 - 28 = 345234530134877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345234530135113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135178110 + ... + 137708352.

It is an arithmetic number, because the mean of its divisors is an integer number (16534322210700).

Almost surely, 2345234530135133 is an apocalyptic number.

It is an amenable number.

345234530135133 is a deficient number, since it is larger than the sum of its proper divisors (183863780607267).

345234530135133 is a wasteful number, since it uses less digits than its factorization.

345234530135133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704538 (or 2704532 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

Adding to 345234530135133 its reverse (331531035432543), we get a palindrome (676765565567676).

The spelling of 345234530135133 in words is "three hundred forty-five trillion, two hundred thirty-four billion, five hundred thirty million, one hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 87 261 783 174257 522771 1568313 2530243 4704939 5053453 7590729 15160359 22772187 45481077 68316561 73377047 136443231 220131141 660393423 1981180269 440912554451 1322737663353 3968212990059 11904638970177 12786464079079 38359392237237 115078176711711 345234530135133