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1133040220 = 2251321013319
BaseRepresentation
bin100001110001000…
…1101001001011100
32220222000101222121
41003202031021130
54310024241340
6304232552324
740035453154
oct10342151134
92828011877
101133040220
11531631984
122775526a4
1315097b700
14aa69d764
156971094a
hex4388d25c

1133040220 has 72 divisors (see below), whose sum is σ = 2602787040. Its totient is φ = 414086400.

The previous prime is 1133040217. The next prime is 1133040241. The reversal of 1133040220 is 220403311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1133040194 and 1133040203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339721 + ... + 343039.

It is an arithmetic number, because the mean of its divisors is an integer number (36149820).

Almost surely, 21133040220 is an apocalyptic number.

1133040220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301393520).

1133040220 is an abundant number, since it is smaller than the sum of its proper divisors (1469746820).

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

1133040220 is a wasteful number, since it uses less digits than its factorization.

1133040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1133040220 is about 33660.6627979902. The cubic root of 1133040220 is about 1042.5137110569.

Adding to 1133040220 its reverse (220403311), we get a palindrome (1353443531).

The spelling of 1133040220 in words is "one billion, one hundred thirty-three million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3319 3380 5252 6565 6638 13130 13276 16595 17069 26260 33190 34138 43147 66380 68276 85345 86294 170690 172588 215735 335219 341380 431470 560911 670438 862940 1121822 1340876 1676095 2243644 2804555 3352190 4357847 5609110 6704380 8715694 11218220 17431388 21789235 43578470 56652011 87156940 113304022 226608044 283260055 566520110 1133040220