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10197303480 = 23325713973209
BaseRepresentation
bin10010111111100111…
…01000000010111000
3222022200000200121200
421133303220002320
5131341002202410
64403511334200
7510461435520
oct113763500270
928280020550
1010197303480
114363126041
121b87081360
13c6683c2b0
146ca442680
153ea3833c0
hex25fce80b8

10197303480 has 384 divisors, whose sum is σ = 41222563200. Its totient is φ = 2128674816.

The previous prime is 10197303421. The next prime is 10197303481. The reversal of 10197303480 is 8430379101.

10197303480 = T14925 + T14926 + ... + T15015.

It is a happy number.

10197303480 is a `hidden beast` number, since 101 + 9 + 73 + 0 + 3 + 480 = 666.

10197303480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101973034802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197303481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3176116 + ... + 3179324.

It is an arithmetic number, because the mean of its divisors is an integer number (107350425).

Almost surely, 210197303480 is an apocalyptic number.

10197303480 is a gapful number since it is divisible by the number (10) 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 10197303480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611281600).

10197303480 is an abundant number, since it is smaller than the sum of its proper divisors (31025259720).

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

10197303480 is a wasteful number, since it uses less digits than its factorization.

10197303480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10197303480 in words is "ten billion, one hundred ninety-seven million, three hundred three thousand, four hundred eighty".