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1320123310 = 2511247139167
BaseRepresentation
bin100111010101111…
…0111101110101110
310102000001012201221
41032223313232232
510200422421220
6334554453554
744466602002
oct11653675656
93360035657
101320123310
116181a2200
1230a1342ba
1318066256c
14c747c702
157ad679aa
hex4eaf7bae

1320123310 has 96 divisors (see below), whose sum is σ = 2702730240. Its totient is φ = 463657920.

The previous prime is 1320123283. The next prime is 1320123323. The reversal of 1320123310 is 133210231.

It is a super-2 number, since 2×13201233102 = 3485451107210712200, which contains 22 as substring.

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, 7904847 + ... + 7905013.

It is an arithmetic number, because the mean of its divisors is an integer number (28153440).

Almost surely, 21320123310 is an apocalyptic number.

1320123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1320123310 is an abundant number, since it is smaller than the sum of its proper divisors (1382606930).

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

1320123310 is a wasteful number, since it uses less digits than its factorization.

1320123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1320123310 is about 36333.5012075632. The cubic root of 1320123310 is about 1096.9954675793.

Adding to 1320123310 its reverse (133210231), we get a palindrome (1453333541).

The spelling of 1320123310 in words is "one billion, three hundred twenty million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 47 55 94 110 121 139 167 235 242 278 334 470 517 605 695 835 1034 1210 1390 1529 1670 1837 2585 3058 3674 5170 5687 6533 7645 7849 9185 11374 13066 15290 15698 16819 18370 20207 23213 28435 32665 33638 39245 40414 46426 56870 65330 71863 78490 84095 86339 101035 116065 143726 168190 172678 202070 232130 255343 359315 431695 510686 718630 790493 863390 949729 1091011 1276715 1580986 1899458 2182022 2553430 2808773 3952465 4748645 5455055 5617546 7904930 9497290 10910110 12001121 14043865 24002242 28087730 60005605 120011210 132012331 264024662 660061655 1320123310