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1131079224 = 2331117435861
BaseRepresentation
bin100001101101010…
…1110011000111000
32220211022210000010
41003122232120320
54304024013344
6304122541520
740013005032
oct10332563070
92824283003
101131079224
11530512620
122769678a0
13150442c62
14aa30cc52
15694748b9
hex436ae638

1131079224 has 128 divisors (see below), whose sum is σ = 3342746880. Its totient is φ = 315033600.

The previous prime is 1131079223. The next prime is 1131079231. The reversal of 1131079224 is 4229701311.

It is a junction number, because it is equal to n+sod(n) for n = 1131079191 and 1131079200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131079223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190054 + ... + 195914.

It is an arithmetic number, because the mean of its divisors is an integer number (26115210).

Almost surely, 21131079224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131079224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671373440).

1131079224 is an abundant number, since it is smaller than the sum of its proper divisors (2211667656).

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

1131079224 is a wasteful number, since it uses less digits than its factorization.

1131079224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1131079224 is about 33631.5212858414. The cubic root of 1131079224 is about 1041.9119243075.

The spelling of 1131079224 in words is "one billion, one hundred thirty-one million, seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 43 44 51 66 68 86 88 102 129 132 136 172 187 204 258 264 344 374 408 473 516 561 731 748 946 1032 1122 1419 1462 1496 1892 2193 2244 2838 2924 3784 4386 4488 5676 5848 5861 8041 8772 11352 11722 16082 17544 17583 23444 24123 32164 35166 46888 48246 64328 64471 70332 96492 99637 128942 140664 192984 193413 199274 252023 257884 298911 386826 398548 504046 515768 597822 756069 773652 797096 1008092 1096007 1195644 1512138 1547304 2016184 2192014 2391288 2772253 3024276 3288021 4284391 4384028 5544506 6048552 6576042 8316759 8568782 8768056 11089012 12853173 13152084 16633518 17137564 22178024 25706346 26304168 33267036 34275128 47128301 51412692 66534072 94256602 102825384 141384903 188513204 282769806 377026408 565539612 1131079224