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1310120000 = 265474679
BaseRepresentation
bin100111000010110…
…1101100001000000
310101022012222202222
41032011231201000
510140342320000
6334000230212
744315556560
oct11605554100
93338188688
101310120000
1161258a602
1230690b368
1317b56c347
14c5dd6da0
157a03da85
hex4e16d840

1310120000 has 140 divisors (see below), whose sum is σ = 3713561280. Its totient is φ = 449088000.

The previous prime is 1310119981. The next prime is 1310120003. The reversal of 1310120000 is 210131.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1310120000.

It is not an unprimeable number, because it can be changed into a prime (1310120003) 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, 277661 + ... + 282339.

Almost surely, 21310120000 is an apocalyptic number.

1310120000 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 1310120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856780640).

1310120000 is an abundant number, since it is smaller than the sum of its proper divisors (2403441280).

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

1310120000 is an frugal number, since it uses more digits than its factorization.

1310120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1310120000 is about 36195.5798406380. The cubic root of 1310120000 is about 1094.2175905474.

Adding to 1310120000 its reverse (210131), we get a palindrome (1310330131).

The spelling of 1310120000 in words is "one billion, three hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 4679 5000 5600 7000 8000 8750 9358 10000 11200 14000 17500 18716 20000 23395 28000 32753 35000 37432 40000 46790 56000 65506 70000 74864 93580 116975 131012 140000 149728 163765 187160 233950 262024 280000 299456 327530 374320 467900 524048 584875 655060 748640 818825 935800 1048096 1169750 1310120 1497280 1637650 1871600 2096192 2339500 2620240 2924375 3275300 3743200 4094125 4679000 5240480 5848750 6550600 7486400 8188250 9358000 10480960 11697500 13101200 16376500 18716000 20470625 23395000 26202400 32753000 37432000 40941250 46790000 52404800 65506000 81882500 93580000 131012000 163765000 187160000 262024000 327530000 655060000 1310120000