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1131133520 = 245118811459
BaseRepresentation
bin100001101101011…
…1011101001010000
32220211102112111002
41003122323221100
54304032233040
6304124041132
740013322236
oct10332735120
92824375432
101131133520
1153054a3a0
122769931a8
1315046189a
14aa324956
1569485a15
hex436bba50

1131133520 has 80 divisors (see below), whose sum is σ = 2874191040. Its totient is φ = 410572800.

The previous prime is 1131133481. The next prime is 1131133547. The reversal of 1131133520 is 253311311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131133492 and 1131133501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774551 + ... + 776009.

It is an arithmetic number, because the mean of its divisors is an integer number (35927388).

Almost surely, 21131133520 is an apocalyptic number.

1131133520 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 1131133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437095520).

1131133520 is an abundant number, since it is smaller than the sum of its proper divisors (1743057520).

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

1131133520 is a wasteful number, since it uses less digits than its factorization.

1131133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1131133520 is about 33632.3284950656. The cubic root of 1131133520 is about 1041.9285959203.

Adding to 1131133520 its reverse (253311311), we get a palindrome (1384444831).

The spelling of 1131133520 in words is "one billion, one hundred thirty-one million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 881 1459 1762 2918 3524 4405 5836 7048 7295 8810 9691 11672 14096 14590 16049 17620 19382 23344 29180 32098 35240 38764 48455 58360 64196 70480 77528 80245 96910 116720 128392 155056 160490 193820 256784 320980 387640 641960 775280 1283920 1285379 2570758 5141516 6426895 10283032 12853790 14139169 20566064 25707580 28278338 51415160 56556676 70695845 102830320 113113352 141391690 226226704 282783380 565566760 1131133520