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1312111101210 = 2357133089155593
BaseRepresentation
bin10011000101111111111…
…010101000010100011010
311122102210021112010210020
4103011333322220110122
5132444200420214320
62442435302331310
7163540223224350
oct23057772502432
94572707463706
101312111101210
11466510567848
12192367429b36
139696828b610
1447713c477d0
15241e72de940
hex1317fea851a

1312111101210 has 128 divisors (see below), whose sum is σ = 3877053949440. Its totient is φ = 276749623296.

The previous prime is 1312111101157. The next prime is 1312111101211. The reversal of 1312111101210 is 121011112131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312111101210.

It is not an unprimeable number, because it can be changed into a prime (1312111101211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8355174 + ... + 8510766.

It is an arithmetic number, because the mean of its divisors is an integer number (30289483980).

Almost surely, 21312111101210 is an apocalyptic number.

1312111101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312111101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938526974720).

1312111101210 is an abundant number, since it is smaller than the sum of its proper divisors (2564942848230).

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

1312111101210 is a wasteful number, since it uses less digits than its factorization.

1312111101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158712.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1312111101210 its reverse (121011112131), we get a palindrome (1433122213341).

The spelling of 1312111101210 in words is "one trillion, three hundred twelve billion, one hundred eleven million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 3089 6178 9267 15445 18534 21623 30890 40157 43246 46335 64869 80314 92670 108115 120471 129738 155593 200785 216230 240942 281099 311186 324345 401570 466779 562198 602355 648690 777965 843297 933558 1089151 1204710 1405495 1555930 1686594 2022709 2178302 2333895 2810990 3267453 4045418 4216485 4667790 5445755 6068127 6534906 8432970 10113545 10891510 12136254 14158963 16337265 20227090 28317926 30340635 32674530 42476889 60681270 70794815 84953778 141589630 212384445 424768890 480626777 961253554 1441880331 2403133885 2883760662 3364387439 4806267770 6248148101 6728774878 7209401655 10093162317 12496296202 14418803310 16821937195 18744444303 20186324634 31240740505 33643874390 37488888606 43737036707 50465811585 62481481010 87474073414 93722221515 100931623170 131211110121 187444443030 218685183535 262422220242 437370367070 656055550605 1312111101210