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1125113580 = 2232529673217
BaseRepresentation
bin100001100001111…
…1101111011101100
32220102002200200100
41003003331323230
54301012113310
6303351031100
736611210343
oct10303757354
92812080610
101125113580
11528108538
1227496b490
1314c1347a6
14a95d8b5a
1568b96ec0
hex430fdeec

1125113580 has 144 divisors (see below), whose sum is σ = 3584337120. Its totient is φ = 285272064.

The previous prime is 1125113579. The next prime is 1125113581. The reversal of 1125113580 is 853115211.

1125113580 is a `hidden beast` number, since 112 + 511 + 35 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1125113579) and next prime (1125113581).

It is not an unprimeable number, because it can be changed into a prime (1125113581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348132 + ... + 351348.

It is an arithmetic number, because the mean of its divisors is an integer number (24891230).

Almost surely, 21125113580 is an apocalyptic number.

1125113580 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 1125113580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792168560).

1125113580 is an abundant number, since it is smaller than the sum of its proper divisors (2459223540).

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

1125113580 is a wasteful number, since it uses less digits than its factorization.

1125113580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1125113580 is about 33542.7127704364. The cubic root of 1125113580 is about 1040.0769112253.

Adding to 1125113580 its reverse (853115211), we get a palindrome (1978228791).

The spelling of 1125113580 in words is "one billion, one hundred twenty-five million, one hundred thirteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 67 87 90 116 134 145 174 180 201 261 268 290 335 348 402 435 522 580 603 670 804 870 1005 1044 1206 1305 1340 1740 1943 2010 2412 2610 3015 3217 3886 4020 5220 5829 6030 6434 7772 9651 9715 11658 12060 12868 16085 17487 19302 19430 23316 28953 29145 32170 34974 38604 38860 48255 57906 58290 64340 69948 87435 93293 96510 115812 116580 144765 174870 186586 193020 215539 279879 289530 349740 373172 431078 466465 559758 579060 646617 839637 862156 932930 1077695 1119516 1293234 1399395 1679274 1865860 1939851 2155390 2586468 2798790 3233085 3358548 3879702 4198185 4310780 5597580 6250631 6466170 7759404 8396370 9699255 12501262 12932340 16792740 18751893 19398510 25002524 31253155 37503786 38797020 56255679 62506310 75007572 93759465 112511358 125012620 187518930 225022716 281278395 375037860 562556790 1125113580