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1146133065 = 357114124203
BaseRepresentation
bin100010001010000…
…1001101001001001
32221212122120222210
41010110021221021
54321402224230
6305421335333
740254653550
oct10424115111
92855576883
101146133065
11538a64810
1227ba07549
131535b3c5c
14ac30ad97
156a949eb0
hex44509a49

1146133065 has 64 divisors (see below), whose sum is σ = 2342172672. Its totient is φ = 464678400.

The previous prime is 1146133063. The next prime is 1146133073. The reversal of 1146133065 is 5603316411.

It is not a de Polignac number, because 1146133065 - 21 = 1146133063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1146133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35254 + ... + 59456.

It is an arithmetic number, because the mean of its divisors is an integer number (36596448).

Almost surely, 21146133065 is an apocalyptic number.

1146133065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1146133065 is an abundant number, since it is smaller than the sum of its proper divisors (1196039607).

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

1146133065 is a wasteful number, since it uses less digits than its factorization.

1146133065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24270.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1146133065 is about 33854.5870599539. The cubic root of 1146133065 is about 1046.5139308934.

Adding to 1146133065 its reverse (5603316411), we get a palindrome (6749449476).

The spelling of 1146133065 in words is "one billion, one hundred forty-six million, one hundred thirty-three thousand, sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 385 451 615 861 1155 1353 1435 2255 3157 4305 6765 9471 15785 24203 47355 72609 121015 169421 266233 363045 508263 798699 847105 992323 1331165 1863631 2541315 2976969 3993495 4961615 5590893 6946261 9318155 10915553 14884845 20838783 27954465 32746659 34731305 54577765 76408871 104193915 163733295 229226613 382044355 1146133065