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21141120 = 2735711213
BaseRepresentation
bin101000010100…
…1011010000000
31110210002011110
41100221122000
520403003440
62033043320
7344460630
oct120513200
943702143
1021141120
1110a2a700
1270b6540
1344c2950
142b446c0
151cc9080
hex1429680

21141120 has 384 divisors, whose sum is σ = 91163520. Its totient is φ = 4055040.

The previous prime is 21141103. The next prime is 21141137. The reversal of 21141120 is 2114112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21141103) and next prime (21141137).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 21141096 and 21141105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626234 + ... + 1626246.

It is an arithmetic number, because the mean of its divisors is an integer number (237405).

Almost surely, 221141120 is an apocalyptic number.

21141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

21141120 is an abundant number, since it is smaller than the sum of its proper divisors (70022400).

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

21141120 is a wasteful number, since it uses less digits than its factorization.

21141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 21141120 is about 4597.9473681198. The cubic root of 21141120 is about 276.5090374809.

Adding to 21141120 its reverse (2114112), we get a palindrome (23255232).

It can be divided in two parts, 21 and 141120, that added together give a palindrome (141141).

The spelling of 21141120 in words is "twenty-one million, one hundred forty-one thousand, one hundred twenty".