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21342100 = 22521316417
BaseRepresentation
bin101000101101…
…0011110010100
31111011021212011
41101122132110
520430421400
62041234004
7346255603
oct121323624
944137764
1021342100
11110576aa
127192904
134563280
142b97a3a
151d188ba
hex145a794

21342100 has 36 divisors (see below), whose sum is σ = 49877884. Its totient is φ = 7879680.

The previous prime is 21342071. The next prime is 21342119. The reversal of 21342100 is 124312.

It can be written as a sum of positive squares in 6 ways, for example, as 4334724 + 17007376 = 2082^2 + 4124^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 6909 + ... + 9508.

Almost surely, 221342100 is an apocalyptic number.

21342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342100 is an abundant number, since it is smaller than the sum of its proper divisors (28535784).

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

21342100 is a wasteful number, since it uses less digits than its factorization.

21342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16444 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21342100 is about 4619.7510755451. The cubic root of 21342100 is about 277.3824949574.

Adding to 21342100 its reverse (124312), we get a palindrome (21466412).

The spelling of 21342100 in words is "twenty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 16417 32834 65668 82085 164170 213421 328340 410425 426842 820850 853684 1067105 1641700 2134210 4268420 5335525 10671050 21342100