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21123116 = 2272472293
BaseRepresentation
bin101000010010…
…1000000101100
31110202011110122
41100211000230
520401414431
62032424112
7344354300
oct120450054
943664418
1021123116
1110a18123
1270a8038
1344b76b1
142b3bd00
151cc3a7b
hex142502c

21123116 has 36 divisors (see below), whose sum is σ = 43934688. Its totient is φ = 8856288.

The previous prime is 21123103. The next prime is 21123119. The reversal of 21123116 is 61132112.

It is a junction number, because it is equal to n+sod(n) for n = 21123094 and 21123103.

It is not an unprimeable number, because it can be changed into a prime (21123119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8066 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (1220408).

Almost surely, 221123116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967344).

21123116 is an abundant number, since it is smaller than the sum of its proper divisors (22811572).

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

21123116 is a wasteful number, since it uses less digits than its factorization.

21123116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 21123116 is about 4595.9891209619. The cubic root of 21123116 is about 276.4305225211.

Adding to 21123116 its reverse (61132112), we get a palindrome (82255228).

The spelling of 21123116 in words is "twenty-one million, one hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2293 2303 4586 4606 9172 9212 16051 32102 64204 107771 112357 215542 224714 431084 449428 754397 1508794 3017588 5280779 10561558 21123116