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1312221400 = 235274122861
BaseRepresentation
bin100111000110110…
…1110100011011000
310101110011202100121
41032031232203120
510141412041100
6334113243024
744342461240
oct11615564330
93343152317
101312221400
116137953a6
12307563474
1317bb26989
14c63c2b20
157a30651a
hex4e36e8d8

1312221400 has 96 divisors (see below), whose sum is σ = 3571958880. Its totient is φ = 438912000.

The previous prime is 1312221389. The next prime is 1312221403. The reversal of 1312221400 is 41222131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312221403) 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, 45970 + ... + 68830.

It is an arithmetic number, because the mean of its divisors is an integer number (37207905).

Almost surely, 21312221400 is an apocalyptic number.

1312221400 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 1312221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785979440).

1312221400 is an abundant number, since it is smaller than the sum of its proper divisors (2259737480).

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

1312221400 is a wasteful number, since it uses less digits than its factorization.

1312221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22925 (or 22916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312221400 is about 36224.5966161115. The cubic root of 1312221400 is about 1094.8023106625.

Adding to 1312221400 its reverse (41222131), we get a palindrome (1353443531).

The spelling of 1312221400 in words is "one billion, three hundred twelve million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 22861 28700 45722 57400 91444 114305 160027 182888 228610 320054 457220 571525 640108 800135 914440 937301 1143050 1280216 1600270 1874602 2286100 3200540 3749204 4000675 4572200 4686505 6401080 6561107 7498408 8001350 9373010 13122214 16002700 18746020 23432525 26244428 32005400 32805535 37492040 46865050 52488856 65611070 93730100 131222140 164027675 187460200 262444280 328055350 656110700 1312221400