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13023111200 = 2552112951031
BaseRepresentation
bin11000010000011110…
…01110100000100000
31020121121021121001212
430020033032200200
5203132404024300
65552134245252
7640503422141
oct141017164040
936547247055
1013023111200
115583230220
1226354b6828
1312c7104278
148b7863ac8
155134b9935
hex3083ce820

13023111200 has 144 divisors (see below), whose sum is σ = 35879578560. Its totient is φ = 4572288000.

The previous prime is 13023111197. The next prime is 13023111217. The reversal of 13023111200 is 211132031.

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, 229685 + ... + 280715.

It is an arithmetic number, because the mean of its divisors is an integer number (249163740).

Almost surely, 213023111200 is an apocalyptic number.

13023111200 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 13023111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939789280).

13023111200 is an abundant number, since it is smaller than the sum of its proper divisors (22856467360).

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

13023111200 is a wasteful number, since it uses less digits than its factorization.

13023111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51091 (or 51078 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13023111200 its reverse (211132031), we get a palindrome (13234243231).

The spelling of 13023111200 in words is "thirteen billion, twenty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 80 88 100 110 116 145 160 176 200 220 232 275 290 319 352 400 440 464 550 580 638 725 800 880 928 1100 1160 1276 1450 1595 1760 2200 2320 2552 2900 3190 4400 4640 5104 5800 6380 7975 8800 10208 11600 12760 15950 23200 25520 31900 51031 51040 63800 102062 127600 204124 255155 255200 408248 510310 561341 816496 1020620 1122682 1275775 1479899 1632992 2041240 2245364 2551550 2806705 2959798 4082480 4490728 5103100 5613410 5919596 7399495 8164960 8981456 10206200 11226820 11839192 14033525 14798990 16278889 17962912 20412400 22453640 23678384 28067050 29597980 32557778 36997475 40824800 44907280 47356768 56134100 59195960 65115556 73994950 81394445 89814560 112268200 118391920 130231112 147989900 162788890 224536400 236783840 260462224 295979800 325577780 406972225 449072800 520924448 591959600 651155560 813944450 1183919200 1302311120 1627888900 2604622240 3255777800 6511555600 13023111200