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20097031500 = 22345372131941
BaseRepresentation
bin10010101101111000…
…000101110101001100
31220212121002222110000
4102231320011311030
5312124320002000
613122113044300
71311010643400
oct225570056514
956777088400
1020097031500
118583283247
123a8a556690
131b8381c220
14d89143100
157c9536000
hex4ade05d4c

20097031500 has 1440 divisors, whose sum is σ = 88570722240. Its totient is φ = 3919104000.

The previous prime is 20097031499. The next prime is 20097031529. The reversal of 20097031500 is 513079002.

It is a super-2 number, since 2×200970315002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 490171480 + ... + 490171520.

It is an arithmetic number, because the mean of its divisors is an integer number (61507446).

Almost surely, 220097031500 is an apocalyptic number.

20097031500 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 20097031500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44285361120).

20097031500 is an abundant number, since it is smaller than the sum of its proper divisors (68473690740).

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

20097031500 is a wasteful number, since it uses less digits than its factorization.

20097031500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 20097031500 in words is "twenty billion, ninety-seven million, thirty-one thousand, five hundred".