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1321312140 = 2232523813083
BaseRepresentation
bin100111011000001…
…1001111110001100
310102002021121111200
41032300121332030
510201223442030
6335040145500
744512652661
oct11660317614
93362247450
101321312140
11618934405
1230a608290
1318098a705
14c76aba68
157aeeed60
hex4ec19f8c

1321312140 has 72 divisors (see below), whose sum is σ = 4010964048. Its totient is φ = 352087680.

The previous prime is 1321312103. The next prime is 1321312141. The reversal of 1321312140 is 412131231.

It is a super-2 number, since 2×13213121402 = 3491731542622759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1321312141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427039 + ... + 430121.

It is an arithmetic number, because the mean of its divisors is an integer number (55707834).

Almost surely, 21321312140 is an apocalyptic number.

1321312140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321312140 is an abundant number, since it is smaller than the sum of its proper divisors (2689651908).

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

1321312140 is a wasteful number, since it uses less digits than its factorization.

1321312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1321312140 is about 36349.8574962819. The cubic root of 1321312140 is about 1097.3246665838.

Adding to 1321312140 its reverse (412131231), we get a palindrome (1733443371).

The spelling of 1321312140 in words is "one billion, three hundred twenty-one million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2381 3083 4762 6166 7143 9249 9524 11905 12332 14286 15415 18498 21429 23810 27747 28572 30830 35715 36996 42858 46245 47620 55494 61660 71430 85716 92490 107145 110988 138735 142860 184980 214290 277470 428580 554940 7340623 14681246 22021869 29362492 36703115 44043738 66065607 73406230 88087476 110109345 132131214 146812460 220218690 264262428 330328035 440437380 660656070 1321312140