Search a number
-
+
13322003100 = 2235276343811
BaseRepresentation
bin11000110100000110…
…11010001010011100
31021101102200212200020
430122003122022130
5204240413044400
610041532432140
7651063105120
oct143203321234
937342625606
1013322003100
115716a1811a
1226b9618650
131344004893
14905429580
1552e85a2a0
hex31a0da29c

13322003100 has 72 divisors (see below), whose sum is σ = 44051430528. Its totient is φ = 3045028800.

The previous prime is 13322003077. The next prime is 13322003119. The reversal of 13322003100 is 130022331.

It is a super-2 number, since 2×133220031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13322003100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169806 + ... + 3174005.

It is an arithmetic number, because the mean of its divisors is an integer number (611825424).

Almost surely, 213322003100 is an apocalyptic number.

13322003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322003100 is an abundant number, since it is smaller than the sum of its proper divisors (30729427428).

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

13322003100 is a wasteful number, since it uses less digits than its factorization.

13322003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343835 (or 6343828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13322003100 its reverse (130022331), we get a palindrome (13452025431).

The spelling of 13322003100 in words is "thirteen billion, three hundred twenty-two million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6343811 12687622 19031433 25375244 31719055 38062866 44406677 63438110 76125732 88813354 95157165 126876220 133220031 158595275 177626708 190314330 222033385 266440062 317190550 380628660 444066770 475785825 532880124 634381100 666100155 888133540 951571650 1110166925 1332200310 1903143300 2220333850 2664400620 3330500775 4440667700 6661001550 13322003100