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1130765105232 = 243271121790779
BaseRepresentation
bin10000011101000110110…
…110100011100001010000
311000002200222001001011200
4100131012312203201100
5122011301331331412
62223244420311200
7144460261543620
oct20350666434120
94002628031150
101130765105232
113a66114719a4
12163196b42500
1382827826359
143ca2d396880
151e63185c9dc
hex10746da3850

1130765105232 has 60 divisors (see below), whose sum is σ = 3616653474720. Its totient is φ = 323075744064.

The previous prime is 1130765105209. The next prime is 1130765105237. The reversal of 1130765105232 is 2325015670311.

1130765105232 is a `hidden beast` number, since 1 + 13 + 0 + 76 + 51 + 0 + 523 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130765105237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560894382 + ... + 560896397.

It is an arithmetic number, because the mean of its divisors is an integer number (60277557912).

Almost surely, 21130765105232 is an apocalyptic number.

1130765105232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130765105232 is an abundant number, since it is smaller than the sum of its proper divisors (2485888369488).

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

1130765105232 is a wasteful number, since it uses less digits than its factorization.

1130765105232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121790800 (or 1121790791 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1130765105232 in words is "one trillion, one hundred thirty billion, seven hundred sixty-five million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1121790779 2243581558 3365372337 4487163116 6730744674 7852535453 8974326232 10096117011 13461489348 15705070906 17948652464 20192234022 23557606359 26922978696 31410141812 40384468044 47115212718 53845957392 62820283624 70672819077 80768936088 94230425436 125640567248 141345638154 161537872176 188460850872 282691276308 376921701744 565382552616 1130765105232