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101898 = 2341737
BaseRepresentation
bin11000111000001010
312011210000
4120320022
511230043
62103430
7603036
oct307012
9164700
10101898
116a615
124ab76
13374c4
14291c6
15202d3
hex18e0a

101898 has 40 divisors (see below), whose sum is σ = 248292. Its totient is φ = 31104.

The previous prime is 101891. The next prime is 101917. The reversal of 101898 is 898101.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 13689 = 297^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2736 + ... + 2772.

2101898 is an apocalyptic number.

101898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146).

101898 is an abundant number, since it is smaller than the sum of its proper divisors (146394).

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

101898 is a wasteful number, since it uses less digits than its factorization.

101898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 101898 is about 319.2146613174. The cubic root of 101898 is about 46.7077076601.

Adding to 101898 its reverse (898101), we get a palindrome (999999).

It can be divided in two parts, 101 and 898, that added together give a palindrome (999).

The spelling of 101898 in words is "one hundred one thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2754 2997 3774 5661 5994 11322 16983 33966 50949 101898