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13103332000 = 255311227073
BaseRepresentation
bin11000011010000010…
…01111101010100000
31020211012020020022121
430031001033222200
5203313423111000
610004121514024
7642466325053
oct141501175240
936735206277
1013103332000
115614542300
122658342914
13130a910cb5
148c4386a9a
1551a563b1a
hex30d04faa0

13103332000 has 144 divisors (see below), whose sum is σ = 35389075176. Its totient is φ = 4764672000.

The previous prime is 13103331971. The next prime is 13103332013. The reversal of 13103332000 is 23330131.

It can be written as a sum of positive squares in 4 ways, for example, as 3843504016 + 9259827984 = 61996^2 + 96228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 470464 + ... + 497536.

Almost surely, 213103332000 is an apocalyptic number.

13103332000 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 13103332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694537588).

13103332000 is an abundant number, since it is smaller than the sum of its proper divisors (22285743176).

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

13103332000 is a wasteful number, since it uses less digits than its factorization.

13103332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120 (or 27091 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13103332000 its reverse (23330131), we get a palindrome (13126662131).

The spelling of 13103332000 in words is "thirteen billion, one hundred three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 27073 30250 44000 48400 54146 60500 96800 108292 121000 135365 216584 242000 270730 297803 433168 484000 541460 595606 676825 866336 1082920 1191212 1353650 1489015 2165840 2382424 2707300 2978030 3275833 3384125 4331680 4764848 5414600 5956060 6551666 6768250 7445075 9529696 10829200 11912120 13103332 13536500 14890150 16379165 21658400 23824240 26206664 27073000 29780300 32758330 37225375 47648480 52413328 54146000 59560600 65516660 74450750 81895825 104826656 108292000 119121200 131033320 148901500 163791650 238242400 262066640 297803000 327583300 409479125 524133280 595606000 655166600 818958250 1191212000 1310333200 1637916500 2620666400 3275833000 6551666000 13103332000