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13114213000 = 235372267637
BaseRepresentation
bin11000011011010101…
…10000001010001000
31020211221201001020121
430031222300022020
5203324214304000
610005151033024
7642660654100
oct141552601210
936757631217
1013114213000
11561a6a4369
12265bb0b774
13130cc50865
148c59ba200
1551b4b2b1a
hex30dab0288

13114213000 has 96 divisors (see below), whose sum is σ = 35697556440. Its totient is φ = 4496284800.

The previous prime is 13114212997. The next prime is 13114213001. The reversal of 13114213000 is 31241131.

It can be written as a sum of positive squares in 4 ways, for example, as 3452502564 + 9661710436 = 58758^2 + 98294^2 .

It is not an unprimeable number, because it can be changed into a prime (13114213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84819 + ... + 182818.

Almost surely, 213114213000 is an apocalyptic number.

13114213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114213000 is an abundant number, since it is smaller than the sum of its proper divisors (22583343440).

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

13114213000 is a wasteful number, since it uses less digits than its factorization.

13114213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267672 (or 267651 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13114213000 its reverse (31241131), we get a palindrome (13145454131).

The spelling of 13114213000 in words is "thirteen billion, one hundred fourteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 267637 535274 1070548 1338185 1873459 2141096 2676370 3746918 5352740 6690925 7493836 9367295 10705480 13114213 13381850 14987672 18734590 26228426 26763700 33454625 37469180 46836475 52456852 53527400 65571065 66909250 74938360 93672950 104913704 131142130 133818500 187345900 234182375 262284260 267637000 327855325 374691800 468364750 524568520 655710650 936729500 1311421300 1639276625 1873459000 2622842600 3278553250 6557106500 13114213000