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21101320 = 235527533
BaseRepresentation
bin101000001111…
…1101100001000
31110201001120101
41100133230020
520400220240
62032135144
7344233612
oct120375410
943631511
1021101320
1110a02809
1270974b4
1344aa7b6
142b33db2
151cbc39a
hex141fb08

21101320 has 16 divisors (see below), whose sum is σ = 47478060. Its totient is φ = 8440512.

The previous prime is 21101317. The next prime is 21101323. The reversal of 21101320 is 2310112.

It is an interprime number because it is at equal distance from previous prime (21101317) and next prime (21101323).

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 362404 = 4554^2 + 602^2 .

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 = 21101297 and 21101306.

It is not an unprimeable number, because it can be changed into a prime (21101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263727 + ... + 263806.

Almost surely, 221101320 is an apocalyptic number.

21101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101320 is an abundant number, since it is smaller than the sum of its proper divisors (26376740).

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

21101320 is a wasteful number, since it uses less digits than its factorization.

21101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527544 (or 527540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 21101320 is about 4593.6173110088. The cubic root of 21101320 is about 276.3354110297.

Adding to 21101320 its reverse (2310112), we get a palindrome (23411432).

The spelling of 21101320 in words is "twenty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 527533 1055066 2110132 2637665 4220264 5275330 10550660 21101320