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1335424101 = 311196783383
BaseRepresentation
bin100111110011000…
…1111010001100101
310110001211120110220
41033212033101211
510213332032401
6340302434553
745043626504
oct11746172145
93401746426
101335424101
116258a2990
12313292a59
1318388ba9b
14c950283b
157c38b336
hex4f98f465

1335424101 has 64 divisors (see below), whose sum is σ = 2105671680. Its totient is φ = 744258240.

The previous prime is 1335424081. The next prime is 1335424117. The reversal of 1335424101 is 1014245331.

It is a happy number.

It is not a de Polignac number, because 1335424101 - 29 = 1335423589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335424141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3486556 + ... + 3486938.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 21335424101 is an apocalyptic number.

1335424101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1335424101 is a deficient number, since it is larger than the sum of its proper divisors (770247579).

1335424101 is a wasteful number, since it uses less digits than its factorization.

1335424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1335424101 is about 36543.4549680240. The cubic root of 1335424101 is about 1101.2174127510.

Adding to 1335424101 its reverse (1014245331), we get a palindrome (2349669432).

The spelling of 1335424101 in words is "one billion, three hundred thirty-five million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 3 11 19 33 57 67 83 201 209 249 383 627 737 913 1149 1273 1577 2211 2739 3819 4213 4731 5561 7277 12639 14003 16683 17347 21831 25661 31789 42009 52041 61171 76983 80047 95367 105659 183513 240141 282271 316977 349679 487559 603991 846813 1049037 1162249 1462677 1811973 2129863 3486747 5363149 6389589 6643901 16089447 19931703 23428493 40467397 70285479 121402191 445141367 1335424101