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20300151600 = 243252311011801
BaseRepresentation
bin10010111001111110…
…111011101100110000
31221101202022112211200
4102321332323230300
5313033314322400
613154210411200
71316025304311
oct227176735460
957352275750
1020300151600
1186779a73a3
123b26590b00
131bb6929731
14da80d8608
157dc2a9b00
hex4b9fbbb30

20300151600 has 360 divisors, whose sum is σ = 73480427904. Its totient is φ = 5184000000.

The previous prime is 20300151587. The next prime is 20300151629. The reversal of 20300151600 is 615100302.

20300151600 is a `hidden beast` number, since 20 + 30 + 0 + 15 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11270700 + ... + 11272500.

Almost surely, 220300151600 is an apocalyptic number.

20300151600 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 20300151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36740213952).

20300151600 is an abundant number, since it is smaller than the sum of its proper divisors (53180276304).

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

20300151600 is a wasteful number, since it uses less digits than its factorization.

20300151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 20300151600 its reverse (615100302), we get a palindrome (20915251902).

The spelling of 20300151600 in words is "twenty billion, three hundred million, one hundred fifty-one thousand, six hundred".