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1017113088 = 2934773193
BaseRepresentation
bin111100100111111…
…110101000000000
32121212212200212010
4330213332220000
54040340104323
6244532132520
734130214165
oct7447765000
92555780763
101017113088
11482152132
12244767140
1313294c584
149912406c
155e461c93
hex3c9fea00

1017113088 has 160 divisors (see below), whose sum is σ = 2819748096. Its totient is φ = 325582848.

The previous prime is 1017113087. The next prime is 1017113101. The reversal of 1017113088 is 8803117101.

It is a happy number.

1017113088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1017113087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269920 + ... + 5270112.

Almost surely, 21017113088 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 1017113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409874048).

1017113088 is an abundant number, since it is smaller than the sum of its proper divisors (1802635008).

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

1017113088 is an equidigital number, since it uses as much as digits as its factorization.

1017113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

The square root of 1017113088 is about 31892.2104596091. The cubic root of 1017113088 is about 1005.6721287918.

The spelling of 1017113088 in words is "one billion, seventeen million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 73 94 96 128 141 146 188 192 193 219 256 282 292 376 384 386 438 512 564 579 584 752 768 772 876 1128 1158 1168 1504 1536 1544 1752 2256 2316 2336 3008 3088 3431 3504 4512 4632 4672 6016 6176 6862 7008 9024 9071 9264 9344 10293 12032 12352 13724 14016 14089 18048 18142 18528 18688 20586 24064 24704 27213 27448 28032 28178 36096 36284 37056 37376 41172 42267 49408 54426 54896 56064 56356 72192 72568 74112 82344 84534 98816 108852 109792 112128 112712 145136 148224 164688 169068 217704 219584 225424 290272 296448 329376 338136 435408 439168 450848 580544 658752 662183 676272 870816 878336 901696 1161088 1317504 1324366 1352544 1741632 1756672 1803392 1986549 2322176 2635008 2648732 2705088 3483264 3606784 3973098 4644352 5270016 5297464 5410176 6966528 7213568 7946196 10594928 10820352 13933056 15892392 21189856 21640704 31784784 42379712 63569568 84759424 127139136 169518848 254278272 339037696 508556544 1017113088