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1312221300 = 22352132314629
BaseRepresentation
bin100111000110110…
…1110100001110100
310101110011202012220
41032031232201310
510141412040200
6334113242340
744342461035
oct11615564164
93343152186
101312221300
11613795315
123075633b0
1317bb26910
14c63c2a8c
157a3064a0
hex4e36e874

1312221300 has 144 divisors (see below), whose sum is σ = 4266810240. Its totient is φ = 308943360.

The previous prime is 1312221259. The next prime is 1312221311. The reversal of 1312221300 is 31222131.

1312221300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1312221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82386 + ... + 97014.

Almost surely, 21312221300 is an apocalyptic number.

1312221300 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 1312221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133405120).

1312221300 is an abundant number, since it is smaller than the sum of its proper divisors (2954588940).

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

1312221300 is a wasteful number, since it uses less digits than its factorization.

1312221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14682 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1312221300 is about 36224.5952358339. The cubic root of 1312221300 is about 1094.8022828521.

Adding to 1312221300 its reverse (31222131), we get a palindrome (1343443431).

The spelling of 1312221300 in words is "one billion, three hundred twelve million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14629 14950 17940 22425 29258 29900 43887 44850 58516 73145 87774 89700 146290 175548 190177 219435 292580 336467 365725 380354 438870 570531 672934 731450 760708 877740 950885 1009401 1097175 1141062 1345868 1462900 1682335 1901770 2018802 2194350 2282124 2852655 3364670 3803540 4037604 4374071 4388700 4754425 5047005 5705310 6729340 8411675 8748142 9508850 10094010 11410620 13122213 14263275 16823350 17496284 19017700 20188020 21870355 25235025 26244426 28526550 33646700 43740710 50470050 52488852 57053100 65611065 87481420 100940100 109351775 131222130 218703550 262444260 328055325 437407100 656110650 1312221300