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1130135220 = 223352972167
BaseRepresentation
bin100001101011100…
…0111111010110100
32220202112211002000
41003113013322310
54303303311340
6304050415300
740001663604
oct10327077264
92822484060
101130135220
1152aa28355
12276591530
131501a2386
14aa144c04
1569339d30
hex435c7eb4

1130135220 has 96 divisors (see below), whose sum is σ = 3637267200. Its totient is φ = 290973312.

The previous prime is 1130135213. The next prime is 1130135269. The reversal of 1130135220 is 225310311.

1130135220 is a `hidden beast` number, since 1 + 130 + 13 + 522 + 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 = 1130135193 and 1130135202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20424 + ... + 51743.

It is an arithmetic number, because the mean of its divisors is an integer number (37888200).

Almost surely, 21130135220 is an apocalyptic number.

1130135220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130135220 is an abundant number, since it is smaller than the sum of its proper divisors (2507131980).

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

1130135220 is a wasteful number, since it uses less digits than its factorization.

1130135220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72214 (or 72206 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1130135220 is about 33617.4838439762. The cubic root of 1130135220 is about 1041.6219821116.

Adding to 1130135220 its reverse (225310311), we get a palindrome (1355445531).

The spelling of 1130135220 in words is "one billion, one hundred thirty million, one hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 72167 144334 216501 288668 360835 433002 649503 721670 866004 1082505 1299006 1443340 1948509 2092843 2165010 2598012 3247515 3897018 4185686 4330020 6278529 6495030 7794036 8371372 9742545 10464215 12557058 12990060 18835587 19485090 20928430 25114116 31392645 37671174 38970180 41856860 56506761 62785290 75342348 94177935 113013522 125570580 188355870 226027044 282533805 376711740 565067610 1130135220