Search a number
-
+
102100200 = 23352170167
BaseRepresentation
bin1100001010111…
…10110011101000
321010010020010220
412011132303220
5202114201300
614044210040
72346560136
oct605366350
9233106126
10102100200
11526a6434
122a239920
13181ca727
14d7ba756
158e6bda0
hex615ece8

102100200 has 48 divisors (see below), whose sum is σ = 316512480. Its totient is φ = 27226560.

The previous prime is 102100199. The next prime is 102100211. The reversal of 102100200 is 2001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84484 + ... + 85683.

It is an arithmetic number, because the mean of its divisors is an integer number (6594010).

Almost surely, 2102100200 is an apocalyptic number.

102100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100200 is an abundant number, since it is smaller than the sum of its proper divisors (214412280).

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

102100200 is a wasteful number, since it uses less digits than its factorization.

102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170186 (or 170177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102100200 is about 10104.4643598758. The cubic root of 102100200 is about 467.3858186265.

Adding to 102100200 its reverse (2001201), we get a palindrome (104101401).

The spelling of 102100200 in words is "one hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 170167 340334 510501 680668 850835 1021002 1361336 1701670 2042004 2552505 3403340 4084008 4254175 5105010 6806680 8508350 10210020 12762525 17016700 20420040 25525050 34033400 51050100 102100200