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1312213320 = 2332511331367
BaseRepresentation
bin100111000110110…
…1100100101001000
310101110011100021100
41032031230211020
510141411311240
6334113141400
744342425545
oct11615544510
93343140240
101312213320
1161378a320
1230755a860
1317bb230b2
14c63bdbcc
157a303e30
hex4e36c948

1312213320 has 96 divisors (see below), whose sum is σ = 4652406720. Its totient is φ = 318111360.

The previous prime is 1312213313. The next prime is 1312213339. The reversal of 1312213320 is 233122131.

1312213320 is a `hidden beast` number, since 1 + 312 + 21 + 332 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312213293 and 1312213302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161724 + ... + 169643.

It is an arithmetic number, because the mean of its divisors is an integer number (48462570).

Almost surely, 21312213320 is an apocalyptic number.

1312213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312213320 is an abundant number, since it is smaller than the sum of its proper divisors (3340193400).

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

1312213320 is a wasteful number, since it uses less digits than its factorization.

1312213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331395 (or 331388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312213320 is about 36224.4850895082. The cubic root of 1312213320 is about 1094.8000635771.

Adding to 1312213320 its reverse (233122131), we get a palindrome (1545335451).

The spelling of 1312213320 in words is "one billion, three hundred twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 331367 662734 994101 1325468 1656835 1988202 2650936 2982303 3313670 3645037 3976404 4970505 5964606 6627340 7290074 7952808 9941010 10935111 11929212 13254680 14580148 14911515 18225185 19882020 21870222 23858424 29160296 29823030 32805333 36450370 39764040 43740444 54675555 59646060 65610666 72900740 87480888 109351110 119292120 131221332 145801480 164026665 218702220 262442664 328053330 437404440 656106660 1312213320