Search a number
-
+
13103221000 = 235323356237
BaseRepresentation
bin11000011010000001…
…10100100100001000
31020211012000121001111
430031000310210020
5203313411033000
610004115300104
7642465353332
oct141500644410
936735017044
1013103221000
115614476971
1226582aa634
13130a8a260c
148c4358452
1551a540cba
hex30d034908

13103221000 has 64 divisors (see below), whose sum is σ = 30793679280. Its totient is φ = 5218700800.

The previous prime is 13103220953. The next prime is 13103221007. The reversal of 13103221000 is 12230131.

It can be written as a sum of positive squares in 8 ways, for example, as 23639044 + 13079581956 = 4862^2 + 114366^2 .

It is not an unprimeable number, because it can be changed into a prime (13103221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204882 + ... + 261118.

Almost surely, 213103221000 is an apocalyptic number.

13103221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396839640).

13103221000 is an abundant number, since it is smaller than the sum of its proper divisors (17690458280).

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

13103221000 is a wasteful number, since it uses less digits than its factorization.

13103221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56491 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13103221000 its reverse (12230131), we get a palindrome (13115451131).

The spelling of 13103221000 in words is "thirteen billion, one hundred three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 9320 11650 23300 29125 46600 56237 58250 112474 116500 224948 233000 281185 449896 562370 1124740 1405925 2249480 2811850 5623700 7029625 11247400 13103221 14059250 26206442 28118500 52412884 56237000 65516105 104825768 131032210 262064420 327580525 524128840 655161050 1310322100 1637902625 2620644200 3275805250 6551610500 13103221000