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1220313135 = 35416593011
BaseRepresentation
bin100100010111100…
…1000000000101111
310011001020022220210
41020233020000233
54444400010020
6321031313503
742145330146
oct11057100057
93131208823
101220313135
11576920358
122a081b893
13165a872a2
14b80da75d
15721ee3e0
hex48bc802f

1220313135 has 32 divisors (see below), whose sum is σ = 2003823360. Its totient is φ = 633785600.

The previous prime is 1220313131. The next prime is 1220313137. The reversal of 1220313135 is 5313130221.

It is not a de Polignac number, because 1220313135 - 22 = 1220313131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220313131) 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 31 ways as a sum of consecutive naturals, for example, 403780 + ... + 406790.

It is an arithmetic number, because the mean of its divisors is an integer number (62619480).

Almost surely, 21220313135 is an apocalyptic number.

1220313135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1220313135 is a deficient number, since it is larger than the sum of its proper divisors (783510225).

1220313135 is a wasteful number, since it uses less digits than its factorization.

1220313135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1220313135 is about 34932.9806200387. The cubic root of 1220313135 is about 1068.6211414698.

Adding to 1220313135 its reverse (5313130221), we get a palindrome (6533443356).

The spelling of 1220313135 in words is "one billion, two hundred twenty million, three hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 15 41 123 205 615 659 1977 3011 3295 9033 9885 15055 27019 45165 81057 123451 135095 370353 405285 617255 1851765 1984249 5952747 9921245 29763735 81354209 244062627 406771045 1220313135