Search a number
-
+
13003201101 = 3115359126011
BaseRepresentation
bin11000001110000110…
…10001101001001101
31020120012211001112210
430013003101221031
5203112304413401
65550143421033
7640142246202
oct140703215115
936505731483
1013003201101
115572a714a0
12262a8b4779
1312c2c52a47
148b4d5dca9
155118854d6
hex3070d1a4d

13003201101 has 32 divisors (see below), whose sum is σ = 19597386240. Its totient is φ = 7600923200.

The previous prime is 13003201037. The next prime is 13003201103. The reversal of 13003201101 is 10110230031.

It is a cyclic number.

It is not a de Polignac number, because 13003201101 - 26 = 13003201037 is a prime.

It is a super-2 number, since 2×130032011012 (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 (13003201103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40186 + ... + 166196.

It is an arithmetic number, because the mean of its divisors is an integer number (612418320).

Almost surely, 213003201101 is an apocalyptic number.

13003201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13003201101 is a deficient number, since it is larger than the sum of its proper divisors (6594185139).

13003201101 is a wasteful number, since it uses less digits than its factorization.

13003201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126137.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13003201101 its reverse (10110230031), we get a palindrome (23113431132).

The spelling of 13003201101 in words is "thirteen billion, three million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 33 53 59 159 177 583 649 1749 1947 3127 9381 34397 103191 126011 378033 1386121 4158363 6678583 7434649 20035749 22303947 73464413 81781139 220393239 245343417 394036397 1182109191 4334400367 13003201101