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1303003110114 = 2324331094915269
BaseRepresentation
bin10010111101100001000…
…010011001101011100010
311121120021112020020211200
4102331201002121223202
5132322022244010424
62434331422422030
7163065426456426
oct22754102315342
94546245206750
101303003110114
11462667317282
12190645131916
1395b4632a484
14470cc360b86
1523d628d08c9
hex12f61099ae2

1303003110114 has 48 divisors (see below), whose sum is σ = 2830137219000. Its totient is φ = 433263333888.

The previous prime is 1303003110113. The next prime is 1303003110127. The reversal of 1303003110114 is 4110113003031.

It can be written as a sum of positive squares in 4 ways, for example, as 483118134489 + 819884975625 = 695067^2 + 905475^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1303003110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85328872 + ... + 85344140.

Almost surely, 21303003110114 is an apocalyptic number.

1303003110114 is an abundant number, since it is smaller than the sum of its proper divisors (1527134108886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303003110114 is a wasteful number, since it uses less digits than its factorization.

1303003110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26659 (or 26656 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303003110114 its reverse (4110113003031), we get a palindrome (5413116113145).

The spelling of 1303003110114 in words is "one trillion, three hundred three billion, three million, one hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 433 866 1299 2598 3897 7794 10949 15269 21898 30538 32847 45807 65694 91614 98541 137421 197082 274842 4740917 6611477 9481834 13222954 14222751 19834431 28445502 39668862 42668253 59503293 85336506 119006586 167180281 334360562 501540843 1003081686 1504622529 3009245058 72389061673 144778123346 217167185019 434334370038 651501555057 1303003110114