Search a number
-
+
1131323302010 = 25111716735910091
BaseRepresentation
bin10000011101101000000…
…111111010000001111010
311000011010212101101012102
4100131220013322001322
5122013422231131020
62223420040343402
7144510150254516
oct20355007720172
94004125341172
101131323302010
113a6878568450
12163311a74b62
13828b63766c5
143ca8357b146
151e66586e475
hex107681fa07a

1131323302010 has 128 divisors (see below), whose sum is σ = 2373095854080. Its totient is φ = 383762252800.

The previous prime is 1131323302009. The next prime is 1131323302049. The reversal of 1131323302010 is 102033231311.

It is a super-3 number, since 3×11313233020103 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112107065 + ... + 112117155.

It is an arithmetic number, because the mean of its divisors is an integer number (18539811360).

Almost surely, 21131323302010 is an apocalyptic number.

1131323302010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131323302010 is an abundant number, since it is smaller than the sum of its proper divisors (1241772552070).

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

1131323302010 is a wasteful number, since it uses less digits than its factorization.

1131323302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1131323302010 its reverse (102033231311), we get a palindrome (1233356533321).

The spelling of 1131323302010 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred two thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 167 170 187 334 359 374 718 835 935 1670 1795 1837 1870 2839 3590 3674 3949 5678 6103 7898 9185 10091 12206 14195 18370 19745 20182 28390 30515 31229 39490 50455 59953 61030 62458 67133 100910 111001 119906 134266 156145 171547 222002 299765 312290 335665 343094 555005 599530 659483 671330 857735 1019201 1110010 1318966 1685197 1715470 1887017 2038402 3297415 3370394 3622669 3774034 5096005 6594830 7245338 8425985 9435085 10192010 11211211 16851970 18113345 18537167 18870170 22422422 28648349 36226690 37074334 39849359 56056055 57296698 61585373 79698718 92685835 112112110 123170746 143241745 185371670 199246795 286483490 307926865 315131839 398493590 604985723 615853730 630263678 677439103 1209971446 1354878206 1575659195 3024928615 3151318390 3387195515 6049857230 6654842953 6774391030 10284757291 13309685906 20569514582 33274214765 51423786455 66548429530 102847572910 113132330201 226264660402 565661651005 1131323302010