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1114631010 = 2335171912781
BaseRepresentation
bin100001001101111…
…1110101101100010
32212200101010022000
41002123332231202
54240321143020
6302334224430
736423131043
oct10233765542
92780333260
101114631010
115221a8859
12271355116
13149c0439c
14a806a8ca
1567cc6090
hex426feb62

1114631010 has 128 divisors (see below), whose sum is σ = 3313094400. Its totient is φ = 265006080.

The previous prime is 1114630999. The next prime is 1114631017. The reversal of 1114631010 is 101364111.

1114631010 is a `hidden beast` number, since 11 + 14 + 631 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1114631017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80820 + ... + 93600.

It is an arithmetic number, because the mean of its divisors is an integer number (25883550).

Almost surely, 21114631010 is an apocalyptic number.

1114631010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114631010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656547200).

1114631010 is an abundant number, since it is smaller than the sum of its proper divisors (2198463390).

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

1114631010 is a wasteful number, since it uses less digits than its factorization.

1114631010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12833 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1114631010 is about 33386.0900675716. The cubic root of 1114631010 is about 1036.8367301749.

Adding to 1114631010 its reverse (101364111), we get a palindrome (1215995121).

The spelling of 1114631010 in words is "one billion, one hundred fourteen million, six hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5814 8721 9690 12781 14535 17442 25562 29070 38343 43605 63905 76686 87210 115029 127810 191715 217277 230058 242839 345087 383430 434554 485678 575145 651831 690174 728517 1086385 1150290 1214195 1303662 1457034 1725435 1955493 2172770 2185551 2428390 3259155 3450870 3642585 3910986 4128263 4371102 5866479 6518310 6556653 7285170 8256526 9777465 10927755 11732958 12384789 13113306 19554930 20641315 21855510 24769578 29332395 32783265 37154367 41282630 58664790 61923945 65566530 74308734 111463101 123847890 185771835 222926202 371543670 557315505 1114631010