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1317097152 = 26337108887
BaseRepresentation
bin100111010000001…
…0100111011000000
310101210100110122000
41032200110323000
510144134102102
6334405544000
744432066250
oct11640247300
93353313560
101317097152
11616515648
12309115000
1317cb43037
14c6cd1960
157a96b01c
hex4e814ec0

1317097152 has 112 divisors (see below), whose sum is σ = 4425208320. Its totient is φ = 376310016.

The previous prime is 1317097123. The next prime is 1317097183. The reversal of 1317097152 is 2517907131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13170971522 = 3469489815613022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42348 + ... + 66539.

Almost surely, 21317097152 is an apocalyptic number.

1317097152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1317097152 is an abundant number, since it is smaller than the sum of its proper divisors (3108111168).

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

1317097152 is a wasteful number, since it uses less digits than its factorization.

1317097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108915 (or 108899 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1317097152 is about 36291.8331308850. The cubic root of 1317097152 is about 1096.1566011335.

The spelling of 1317097152 in words is "one billion, three hundred seventeen million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 108887 217774 326661 435548 653322 762209 871096 979983 1306644 1524418 1742192 1959966 2286627 2613288 2939949 3048836 3484384 3919932 4573254 5226576 5879898 6097672 6859881 6968768 7839864 9146508 10453152 11759796 12195344 13719762 15679728 18293016 20579643 20906304 23519592 24390688 27439524 31359456 36586032 41159286 47039184 48781376 54879048 62718912 73172064 82318572 94078368 109758096 146344128 164637144 188156736 219516192 329274288 439032384 658548576 1317097152