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1213105465 = 5112131743211
BaseRepresentation
bin100100001001110…
…1000010100111001
310010112200010212001
41020103220110321
54441023333330
6320213021001
742030140425
oct11023502471
93115603761
101213105465
11572848100
1229a324761
131644326b0
14b7181b85
15717789ca
hex484e8539

1213105465 has 96 divisors (see below), whose sum is σ = 1875823488. Its totient is φ = 745113600.

The previous prime is 1213105463. The next prime is 1213105489. The reversal of 1213105465 is 5645013121.

It is not a de Polignac number, because 1213105465 - 21 = 1213105463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1213105463) 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 95 ways as a sum of consecutive naturals, for example, 5749210 + ... + 5749420.

It is an arithmetic number, because the mean of its divisors is an integer number (19539828).

Almost surely, 21213105465 is an apocalyptic number.

It is an amenable number.

1213105465 is a deficient number, since it is larger than the sum of its proper divisors (662718023).

1213105465 is a wasteful number, since it uses less digits than its factorization.

1213105465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1213105465 is about 34829.6635786222. The cubic root of 1213105465 is about 1066.5130806970.

Adding to 1213105465 its reverse (5645013121), we get a palindrome (6858118586).

The spelling of 1213105465 in words is "one billion, two hundred thirteen million, one hundred five thousand, four hundred sixty-five".

Divisors: 1 5 11 13 17 43 55 65 85 121 143 187 211 215 221 473 559 605 715 731 935 1055 1105 1573 2057 2321 2365 2431 2743 2795 3587 3655 5203 6149 7865 8041 9073 9503 10285 11605 12155 13715 17935 25531 26015 26741 30173 30745 39457 40205 45365 46631 47515 67639 88451 99803 104533 117949 127655 133705 150865 154241 197285 233155 331903 338195 434027 442255 499015 512941 522665 589745 771205 1097833 1149863 1297439 1659515 1696651 2005133 2170135 2564705 5489165 5642351 5749315 6487195 8483255 10025665 14271829 18663161 22056463 28211755 71359145 93315805 110282315 242621093 1213105465