Search a number
-
+
13100002032 = 2431329723917
BaseRepresentation
bin11000011001101001…
…00010101011110000
31020210221222001110110
430030310202223300
5203312100031112
610003522301320
7642426115515
oct141464425360
936727861413
1013100002032
115612678467
1226571b7840
13130a0163c0
148c3b5b30c
1551a10713c
hex30cd22af0

13100002032 has 80 divisors (see below), whose sum is σ = 37701649440. Its totient is φ = 3891772416.

The previous prime is 13100002031. The next prime is 13100002043. The reversal of 13100002032 is 23020000131.

It is a happy number.

It is a super-2 number, since 2×131000020322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13100001999 and 13100002017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100002031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343863 + ... + 380054.

It is an arithmetic number, because the mean of its divisors is an integer number (471270618).

Almost surely, 213100002032 is an apocalyptic number.

13100002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13100002032 is an abundant number, since it is smaller than the sum of its proper divisors (24601647408).

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

13100002032 is a wasteful number, since it uses less digits than its factorization.

13100002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723970 (or 723964 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13100002032 its reverse (23020000131), we get a palindrome (36120002163).

The spelling of 13100002032 in words is "thirteen billion, one hundred million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 723917 1447834 2171751 2895668 4343502 5791336 8687004 9410921 11582672 17374008 18821842 20993593 28232763 34748016 37643684 41987186 56465526 62980779 75287368 83974372 112931052 125961558 150574736 167948744 225862104 251923116 272916709 335897488 451724208 503846232 545833418 818750127 1007692464 1091666836 1637500254 2183333672 3275000508 4366667344 6550001016 13100002032