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20099141400 = 233521331101823
BaseRepresentation
bin10010101110000000…
…001000111100011000
31220212202002011200110
4102232000020330120
5312130340011100
613122230204320
71311034611612
oct225600107430
956782064613
1020099141400
118584494468
123a8b1b36a0
131b840aa6a0
14d89531db2
157c9801250
hex4ae008f18

20099141400 has 384 divisors, whose sum is σ = 70035517440. Its totient is φ = 4734720000.

The previous prime is 20099141339. The next prime is 20099141423. The reversal of 20099141400 is 414199002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24421389 + ... + 24422211.

It is an arithmetic number, because the mean of its divisors is an integer number (182384160).

Almost surely, 220099141400 is an apocalyptic number.

20099141400 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 20099141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35017758720).

20099141400 is an abundant number, since it is smaller than the sum of its proper divisors (49936376040).

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

20099141400 is a wasteful number, since it uses less digits than its factorization.

20099141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 20099141400 in words is "twenty billion, ninety-nine million, one hundred forty-one thousand, four hundred".