Search a number
-
+
1285281102 = 237296117299
BaseRepresentation
bin100110010011011…
…1101010101001110
310022120111001012210
41030212331111032
510113012443402
6331312011250
743564465140
oct11446752516
93276431183
101285281102
115aa564796
122ba530b26
13176383581
14c29acc90
1577c8406c
hex4c9bd54e

1285281102 has 64 divisors (see below), whose sum is σ = 3089088000. Its totient is φ = 348727680.

The previous prime is 1285281091. The next prime is 1285281103. The reversal of 1285281102 is 2011825821.

It is a super-2 number, since 2×12852811022 = 3303895022316668808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1285281102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285281103) 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 31 ways as a sum of consecutive naturals, for example, 65649 + ... + 82947.

It is an arithmetic number, because the mean of its divisors is an integer number (48267000).

Almost surely, 21285281102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285281102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544544000).

1285281102 is an abundant number, since it is smaller than the sum of its proper divisors (1803806898).

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

1285281102 is a wasteful number, since it uses less digits than its factorization.

1285281102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17401.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1285281102 is about 35850.8173128591. The cubic root of 1285281102 is about 1087.2582389786.

The spelling of 1285281102 in words is "one billion, two hundred eighty-five million, two hundred eighty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 58 61 87 122 174 183 203 366 406 427 609 854 1218 1281 1769 2562 3538 5307 10614 12383 17299 24766 34598 37149 51897 74298 103794 121093 242186 363279 501671 726558 1003342 1055239 1505013 2110478 3010026 3165717 3511697 6331434 7023394 7386673 10535091 14773346 21070182 22160019 30601931 44320038 61203862 91805793 183611586 214213517 428427034 642640551 1285281102