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1131433020 = 2232523674079
BaseRepresentation
bin100001101110000…
…0100110000111100
32220211222202022200
41003130010300330
54304121324040
6304134311500
740016010354
oct10334046074
92824882280
101131433020
11530734413
12276ab8590
13150537cc3
14aa3a1b64
15694e4630
hex43704c3c

1131433020 has 144 divisors (see below), whose sum is σ = 3635573760. Its totient is φ = 284220288.

The previous prime is 1131433013. The next prime is 1131433073. The reversal of 1131433020 is 203341311.

1131433020 is a `hidden beast` number, since 1 + 1 + 314 + 330 + 20 = 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 = 1131432984 and 1131433002.

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 47 ways as a sum of consecutive naturals, for example, 275341 + ... + 279419.

It is an arithmetic number, because the mean of its divisors is an integer number (25247040).

Almost surely, 21131433020 is an apocalyptic number.

1131433020 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 1131433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817786880).

1131433020 is an abundant number, since it is smaller than the sum of its proper divisors (2504140740).

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

1131433020 is a wasteful number, since it uses less digits than its factorization.

1131433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1131433020 is about 33636.7807615414. The cubic root of 1131433020 is about 1042.0205479521.

Adding to 1131433020 its reverse (203341311), we get a palindrome (1334774331).

The spelling of 1131433020 in words is "one billion, one hundred thirty-one million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 67 69 90 92 115 134 138 180 201 207 230 268 276 335 345 402 414 460 603 670 690 804 828 1005 1035 1206 1340 1380 1541 2010 2070 2412 3015 3082 4020 4079 4140 4623 6030 6164 7705 8158 9246 12060 12237 13869 15410 16316 18492 20395 23115 24474 27738 30820 36711 40790 46230 48948 55476 61185 69345 73422 81580 92460 93817 122370 138690 146844 183555 187634 244740 273293 277380 281451 367110 375268 469085 546586 562902 734220 819879 844353 938170 1093172 1125804 1366465 1407255 1639758 1688706 1876340 2459637 2732930 2814510 3279516 3377412 4099395 4221765 4919274 5465860 5629020 6285739 8198790 8443530 9838548 12298185 12571478 16397580 16887060 18857217 24596370 25142956 31428695 37714434 49192740 56571651 62857390 75428868 94286085 113143302 125714780 188572170 226286604 282858255 377144340 565716510 1131433020