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13120340000 = 25541076131
BaseRepresentation
bin11000011100000100…
…01000000000100000
31020212101020022220112
430032002020000200
5203332301340000
610005530230452
7643064023055
oct141602100040
936771208815
1013120340000
1156230a96a9
122661b85428
1313112b75c1
148c673302c
1551bcc3235
hex30e088020

13120340000 has 120 divisors (see below), whose sum is σ = 32584981968. Its totient is φ = 5198240000.

The previous prime is 13120339997. The next prime is 13120340003. The reversal of 13120340000 is 4302131.

It is an interprime number because it is at equal distance from previous prime (13120339997) and next prime (13120340003).

It is not an unprimeable number, because it can be changed into a prime (13120340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2136935 + ... + 2143065.

Almost surely, 213120340000 is an apocalyptic number.

13120340000 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 13120340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292490984).

13120340000 is an abundant number, since it is smaller than the sum of its proper divisors (19464641968).

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

13120340000 is an equidigital number, since it uses as much as digits as its factorization.

13120340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13120340000 its reverse (4302131), we get a palindrome (13124642131).

The spelling of 13120340000 in words is "thirteen billion, one hundred twenty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 625 800 856 1000 1070 1250 1712 2000 2140 2500 2675 3424 4000 4280 5000 5350 6131 8560 10000 10700 12262 13375 17120 20000 21400 24524 26750 30655 42800 49048 53500 61310 66875 85600 98096 107000 122620 133750 153275 196192 214000 245240 267500 306550 428000 490480 535000 613100 656017 766375 980960 1070000 1226200 1312034 1532750 2140000 2452400 2624068 3065500 3280085 3831875 4904800 5248136 6131000 6560170 7663750 10496272 12262000 13120340 15327500 16400425 20992544 24524000 26240680 30655000 32800850 52481360 61310000 65601700 82002125 104962720 122620000 131203400 164004250 262406800 328008500 410010625 524813600 656017000 820021250 1312034000 1640042500 2624068000 3280085000 6560170000 13120340000