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13320002000 = 245367107929
BaseRepresentation
bin11000110011110111…
…10001100111010000
31021101021221012200102
430121323301213100
5204234410031000
610041421511532
7651040102034
oct143173614720
937337835612
1013320002000
115715880718
1226b8a125a8
131343783ab6
149050681c4
1552e5b23d5
hex319ef19d0

13320002000 has 160 divisors (see below), whose sum is σ = 33029493120. Its totient is φ = 5193830400.

The previous prime is 13320001991. The next prime is 13320002009. The reversal of 13320002000 is 20002331.

It is an interprime number because it is at equal distance from previous prime (13320001991) and next prime (13320002009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14337536 + ... + 14338464.

It is an arithmetic number, because the mean of its divisors is an integer number (206434332).

Almost surely, 213320002000 is an apocalyptic number.

13320002000 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 13320002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514746560).

13320002000 is an abundant number, since it is smaller than the sum of its proper divisors (19709491120).

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

13320002000 is a wasteful number, since it uses less digits than its factorization.

13320002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 13320002000 its reverse (20002331), we get a palindrome (13340004331).

The spelling of 13320002000 in words is "thirteen billion, three hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 107 125 134 200 214 250 268 335 400 428 500 535 536 670 856 929 1000 1070 1072 1340 1675 1712 1858 2000 2140 2675 2680 3350 3716 4280 4645 5350 5360 6700 7169 7432 8375 8560 9290 10700 13375 13400 14338 14864 16750 18580 21400 23225 26750 26800 28676 33500 35845 37160 42800 46450 53500 57352 62243 67000 71690 74320 92900 99403 107000 114704 116125 124486 134000 143380 179225 185800 198806 214000 232250 248972 286760 311215 358450 371600 397612 464500 497015 497944 573520 622430 716900 795224 896125 929000 994030 995888 1244860 1433800 1556075 1590448 1792250 1858000 1988060 2485075 2489720 2867600 3112150 3584500 3976120 4970150 4979440 6224300 6660001 7169000 7780375 7952240 9940300 12425375 12448600 13320002 14338000 15560750 19880600 24850750 24897200 26640004 31121500 33300005 39761200 49701500 53280008 62243000 66600010 99403000 106560016 124486000 133200020 166500025 198806000 266400040 333000050 532800080 666000100 832500125 1332000200 1665000250 2664000400 3330000500 6660001000 13320002000