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1303400241 = 36111312503
BaseRepresentation
bin100110110110000…
…0100111100110001
310100211120121000000
41031230010330301
510132132301431
6333200220213
744204501463
oct11554047461
93324517000
101303400241
1160980a990
1230460a669
1317a058860
14c5168133
15796629e6
hex4db04f31

1303400241 has 56 divisors (see below), whose sum is σ = 2296034496. Its totient is φ = 729116640.

The previous prime is 1303400227. The next prime is 1303400249. The reversal of 1303400241 is 1420043031.

It is not a de Polignac number, because 1303400241 - 29 = 1303399729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1303400249) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97996 + ... + 110498.

It is an arithmetic number, because the mean of its divisors is an integer number (41000616).

Almost surely, 21303400241 is an apocalyptic number.

1303400241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1303400241 is a deficient number, since it is larger than the sum of its proper divisors (992634255).

1303400241 is a wasteful number, since it uses less digits than its factorization.

1303400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1303400241 is about 36102.6348207440. The cubic root of 1303400241 is about 1092.3435928207.

Adding to 1303400241 its reverse (1420043031), we get a palindrome (2723443272).

The spelling of 1303400241 in words is "one billion, three hundred three million, four hundred thousand, two hundred forty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 729 891 1053 1287 2673 3159 3861 8019 9477 11583 12503 34749 37509 104247 112527 137533 162539 337581 412599 487617 1012743 1237797 1462851 1787929 3038229 3713391 4388553 5363787 9114687 11140173 13165659 16091361 33420519 39496977 48274083 100261557 118490931 144822249 434466747 1303400241