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1132106220 = 22345799833
BaseRepresentation
bin100001101111010…
…1001000111101100
32220220020221210000
41003132221013230
54304304344340
6304200544300
740024513140
oct10336510754
92826227700
101132106220
11531054183
12277182090
1315071254b
14aa4d9220
15695c8d30
hex437a91ec

1132106220 has 120 divisors (see below), whose sum is σ = 4058851104. Its totient is φ = 258764544.

The previous prime is 1132106201. The next prime is 1132106237. The reversal of 1132106220 is 226012311.

1132106220 is a `hidden beast` number, since 1 + 1 + 32 + 10 + 622 + 0 = 666.

1132106220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1132106193 and 1132106202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38577 + ... + 61256.

Almost surely, 21132106220 is an apocalyptic number.

1132106220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132106220 is an abundant number, since it is smaller than the sum of its proper divisors (2926744884).

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

1132106220 is a wasteful number, since it uses less digits than its factorization.

1132106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99861 (or 99850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132106220 is about 33646.7861763943. The cubic root of 1132106220 is about 1042.2271735731.

Adding to 1132106220 its reverse (226012311), we get a palindrome (1358118531).

The spelling of 1132106220 in words is "one billion, one hundred thirty-two million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 99833 199666 299499 399332 499165 598998 698831 898497 998330 1197996 1397662 1497495 1796994 1996660 2096493 2695491 2795324 2994990 3494155 3593988 4192986 4492485 5390982 5989980 6289479 6988310 8086473 8385972 8984970 10482465 10781964 12578958 13477455 13976620 16172946 17969940 18868437 20964930 25157916 26954910 31447395 32345892 37736874 40432365 41929860 53909820 56605311 62894790 75473748 80864730 94342185 113210622 125789580 161729460 188684370 226421244 283026555 377368740 566053110 1132106220