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102100420 = 2255105021
BaseRepresentation
bin1100001010111…
…10110111000100
321010010020110001
412011132313010
5202114203140
614044211044
72346560602
oct605366704
9233106401
10102100420
11526a6614
122a239a84
13181ca866
14d7ba872
158e6be9a
hex615edc4

102100420 has 12 divisors (see below), whose sum is σ = 214410924. Its totient is φ = 40840160.

The previous prime is 102100393. The next prime is 102100421. The reversal of 102100420 is 24001201.

It can be written as a sum of positive squares in 2 ways, for example, as 35808256 + 66292164 = 5984^2 + 8142^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100397 and 102100406.

It is not an unprimeable number, because it can be changed into a prime (102100421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552491 + ... + 2552530.

It is an arithmetic number, because the mean of its divisors is an integer number (17867577).

Almost surely, 2102100420 is an apocalyptic number.

102100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100420 is an abundant number, since it is smaller than the sum of its proper divisors (112310504).

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

102100420 is a wasteful number, since it uses less digits than its factorization.

102100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105030 (or 5105028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102100420 is about 10104.4752461471. The cubic root of 102100420 is about 467.3861543255.

Adding to 102100420 its reverse (24001201), we get a palindrome (126101621).

The spelling of 102100420 in words is "one hundred two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5105021 10210042 20420084 25525105 51050210 102100420