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1303103607663 = 311213971284387
BaseRepresentation
bin10010111101100111000…
…001110001001101101111
311121120112112100001120010
4102331213001301031233
5132322224010421123
62434345412424303
7163101056623254
oct22754701611557
94546475301503
101303103607663
11462709018600
12190672918093
1395b610b6590
14470db84142b
1523d6b632993
hex12f6707136f

1303103607663 has 48 divisors (see below), whose sum is σ = 2058814412928. Its totient is φ = 728255668800.

The previous prime is 1303103607653. The next prime is 1303103607691. The reversal of 1303103607663 is 3667063013031.

It is not a de Polignac number, because 1303103607663 - 216 = 1303103542127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303103607653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4439956 + ... + 4724342.

It is an arithmetic number, because the mean of its divisors is an integer number (42891966936).

Almost surely, 21303103607663 is an apocalyptic number.

1303103607663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1303103607663 is a deficient number, since it is larger than the sum of its proper divisors (755710805265).

1303103607663 is a wasteful number, since it uses less digits than its factorization.

1303103607663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285396 (or 285385 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The spelling of 1303103607663 in words is "one trillion, three hundred three billion, one hundred three million, six hundred seven thousand, six hundred sixty-three".

Divisors: 1 3 11 13 33 39 121 143 363 429 971 1573 2913 4719 10681 12623 32043 37869 117491 138853 284387 352473 416559 853161 1527383 3128257 3697031 4582149 9384771 11091093 34410827 40667341 103232481 122002023 276139777 447340751 828419331 1342022253 3037537547 3589817101 9112612641 10769451303 33412913017 39487988111 100238739051 118463964333 434367869221 1303103607663