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21230401200 = 24352291035923
BaseRepresentation
bin10011110001011011…
…100011011010110000
32000210120202010101120
4103301123203122300
5321434440314300
613430401102240
71351052301261
oct236133433260
960716663346
1021230401200
11900500a718
124146027980
132004584898
14105588a968
15843cae3a0
hex4f16e36b0

21230401200 has 240 divisors, whose sum is σ = 71048190720. Its totient is φ = 5412234240.

The previous prime is 21230401163. The next prime is 21230401237. The reversal of 21230401200 is 210403212.

It is an interprime number because it is at equal distance from previous prime (21230401163) and next prime (21230401237).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×212304012002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21230401200.

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, 3581439 + ... + 3587361.

It is an arithmetic number, because the mean of its divisors is an integer number (296034128).

Almost surely, 221230401200 is an apocalyptic number.

21230401200 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 21230401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524095360).

21230401200 is an abundant number, since it is smaller than the sum of its proper divisors (49817789520).

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

21230401200 is a wasteful number, since it uses less digits than its factorization.

21230401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21230401200 its reverse (210403212), we get a palindrome (21440804412).

The spelling of 21230401200 in words is "twenty-one billion, two hundred thirty million, four hundred one thousand, two hundred".