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1312202112 = 27313833167
BaseRepresentation
bin100111000110110…
…1001110110000000
310101110010202220020
41032031221312000
510141410431422
6334113013440
744342351064
oct11615516600
93343122806
101312202112
11613781961
12307554280
1317bb1ac70
14c63b9aa4
157a30095c
hex4e369d80

1312202112 has 128 divisors (see below), whose sum is σ = 3800079360. Its totient is φ = 398764032.

The previous prime is 1312202039. The next prime is 1312202113. The reversal of 1312202112 is 2112022131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1312202091 and 1312202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312202113) 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, 412753 + ... + 415919.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 21312202112 is an apocalyptic number.

1312202112 is a gapful number since it is divisible by the number (12) 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 1312202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900039680).

1312202112 is an abundant number, since it is smaller than the sum of its proper divisors (2487877248).

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

1312202112 is a wasteful number, since it uses less digits than its factorization.

1312202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1312202112 is about 36224.3303871859. The cubic root of 1312202112 is about 1094.7969465651.

Adding to 1312202112 its reverse (2112022131), we get a palindrome (3424224243).

The spelling of 1312202112 in words is "one billion, three hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 312 332 384 416 498 624 664 832 996 1079 1248 1328 1664 1992 2158 2496 2656 3167 3237 3984 4316 4992 5312 6334 6474 7968 8632 9501 10624 12668 12948 15936 17264 19002 25336 25896 31872 34528 38004 41171 50672 51792 69056 76008 82342 101344 103584 123513 138112 152016 164684 202688 207168 247026 262861 304032 329368 405376 414336 494052 525722 608064 658736 788583 988104 1051444 1216128 1317472 1577166 1976208 2102888 2634944 3154332 3417193 3952416 4205776 5269888 6308664 6834386 7904832 8411552 10251579 12617328 13668772 15809664 16823104 20503158 25234656 27337544 33646208 41006316 50469312 54675088 82012632 100938624 109350176 164025264 218700352 328050528 437400704 656101056 1312202112