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1312223320 = 235294212687
BaseRepresentation
bin100111000110110…
…1111000001011000
310101110011211222201
41032031233001120
510141412121240
6334113255544
744342466652
oct11615570130
93343154881
101312223320
11613796891
123075645b4
1317bb27805
14c63c36d2
157a306d9a
hex4e36f058

1312223320 has 64 divisors (see below), whose sum is σ = 3062707200. Its totient is φ = 505397760.

The previous prime is 1312223317. The next prime is 1312223321. The reversal of 1312223320 is 233222131.

1312223320 = 29362 + 29372 + ... + 30802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312223321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487017 + ... + 489703.

It is an arithmetic number, because the mean of its divisors is an integer number (47854800).

Almost surely, 21312223320 is an apocalyptic number.

1312223320 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 1312223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531353600).

1312223320 is an abundant number, since it is smaller than the sum of its proper divisors (1750483880).

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

1312223320 is a wasteful number, since it uses less digits than its factorization.

1312223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1312223320 is about 36224.6231174322. The cubic root of 1312223320 is about 1094.8028446221.

Adding to 1312223320 its reverse (233222131), we get a palindrome (1545445451).

The spelling of 1312223320 in words is "one billion, three hundred twelve million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 421 580 842 1160 1684 2105 2687 3368 4210 5374 8420 10748 12209 13435 16840 21496 24418 26870 48836 53740 61045 77923 97672 107480 122090 155846 244180 311692 389615 488360 623384 779230 1131227 1558460 2262454 3116920 4524908 5656135 9049816 11312270 22624540 32805583 45249080 65611166 131222332 164027915 262444664 328055830 656111660 1312223320