Search a number
-
+
1145226303 = 33132419599
BaseRepresentation
bin100010001000010…
…1100010000111111
32221210221112011000
41010100230100333
54321134220203
6305350101343
740244156124
oct10420542077
92853845130
101145226303
115384a5521
1227b64a853
13153357300
14ac15274b
156a81b4a3
hex4442c43f

1145226303 has 48 divisors (see below), whose sum is σ = 1844640000. Its totient is φ = 701898912.

The previous prime is 1145226287. The next prime is 1145226319. The reversal of 1145226303 is 3036225411.

1145226303 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 22 + 630 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1145226287) and next prime (1145226319).

It is not a de Polignac number, because 1145226303 - 24 = 1145226287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145266303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911598 + ... + 1912196.

It is an arithmetic number, because the mean of its divisors is an integer number (38430000).

Almost surely, 21145226303 is an apocalyptic number.

1145226303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1145226303 is a deficient number, since it is larger than the sum of its proper divisors (699413697).

1145226303 is a wasteful number, since it uses less digits than its factorization.

1145226303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1145226303 is about 33841.1923992048. The cubic root of 1145226303 is about 1046.2378752722.

The spelling of 1145226303 in words is "one billion, one hundred forty-five million, two hundred twenty-six thousand, three hundred three".

Divisors: 1 3 9 13 27 39 117 169 351 419 507 599 1257 1521 1797 3771 4563 5391 5447 7787 11313 16173 16341 23361 49023 70083 70811 101231 147069 210249 212433 250981 303693 637299 752943 911079 1911897 2258829 2733237 3262753 6776487 9788259 29364777 42415789 88094331 127247367 381742101 1145226303