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12331300455 = 32517831571237
BaseRepresentation
bin10110111110000000…
…01011011001100111
31011211101111222010200
423133000023121213
5200223303103310
65355342321543
7614403216165
oct133700133147
934741458120
1012331300455
115258774601
1224818892b3
1312169a14b6
1484da1c235
154c28b39c0
hex2df00b667

12331300455 has 96 divisors (see below), whose sum is σ = 23068753344. Its totient is φ = 6071390208.

The previous prime is 12331300451. The next prime is 12331300543. The reversal of 12331300455 is 55400313321.

It is not a de Polignac number, because 12331300455 - 22 = 12331300451 is a prime.

It is a super-2 number, since 2×123313004552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331300451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9968097 + ... + 9969333.

It is an arithmetic number, because the mean of its divisors is an integer number (240299514).

Almost surely, 212331300455 is an apocalyptic number.

12331300455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12331300455 is a deficient number, since it is larger than the sum of its proper divisors (10737452889).

12331300455 is a wasteful number, since it uses less digits than its factorization.

12331300455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 12331300455 its reverse (55400313321), we get a palindrome (67731613776).

The spelling of 12331300455 in words is "twelve billion, three hundred thirty-one million, three hundred thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 83 85 153 157 249 255 415 471 747 765 785 1237 1245 1411 1413 2355 2669 3711 3735 4233 6185 7055 7065 8007 11133 12699 13031 13345 18555 21029 21165 24021 39093 40035 55665 63087 63495 65155 102671 105145 117279 120105 189261 194209 195465 221527 308013 315435 513355 582627 586395 664581 924039 946305 971045 1107635 1540065 1745407 1747881 1993743 2913135 3301553 3322905 4620195 5236221 8727035 8739405 9904659 9968715 15708663 16119347 16507765 26181105 29713977 48358041 49523295 78543315 80596735 145074123 148569885 241790205 274028899 725370615 822086697 1370144495 2466260091 4110433485 12331300455