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13123443000 = 2335310740883
BaseRepresentation
bin11000011100011011…
…11101100100111000
31020212121001222102110
430032031331210320
5203334100134000
610010120532320
7643132265523
oct141615754470
936777058373
1013123443000
115624928a68
1226630210a0
131311b32ab5
148c6cddbba
1551c1d7850
hex30e37d938

13123443000 has 128 divisors (see below), whose sum is σ = 41328817920. Its totient is φ = 3466793600.

The previous prime is 13123442963. The next prime is 13123443043. The reversal of 13123443000 is 34432131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300559 + ... + 341441.

It is an arithmetic number, because the mean of its divisors is an integer number (322881390).

Almost surely, 213123443000 is an apocalyptic number.

13123443000 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 13123443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664408960).

13123443000 is an abundant number, since it is smaller than the sum of its proper divisors (28205374920).

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

13123443000 is a wasteful number, since it uses less digits than its factorization.

13123443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41014 (or 41000 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13123443000 its reverse (34432131), we get a palindrome (13157875131).

The spelling of 13123443000 in words is "thirteen billion, one hundred twenty-three million, four hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 8025 10700 12840 13375 16050 21400 26750 32100 40125 40883 53500 64200 80250 81766 107000 122649 160500 163532 204415 245298 321000 327064 408830 490596 613245 817660 981192 1022075 1226490 1635320 2044150 2452980 3066225 4088300 4374481 4905960 5110375 6132450 8176600 8748962 10220750 12264900 13123443 15331125 17497924 20441500 21872405 24529800 26246886 30662250 34995848 40883000 43744810 52493772 61324500 65617215 87489620 104987544 109362025 122649000 131234430 174979240 218724050 262468860 328086075 437448100 524937720 546810125 656172150 874896200 1093620250 1312344300 1640430375 2187240500 2624688600 3280860750 4374481000 6561721500 13123443000