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20152503101 = 23241539173
BaseRepresentation
bin10010110001001011…
…101100101100111101
31221000110111020011202
4102301023230230331
5312233020044401
613131414025245
71312253310233
oct226113545475
957013436152
1020152503101
118601620945
123aa5048225
131b92171c63
14d92662953
157ce34206b
hex4b12ecb3d

20152503101 has 12 divisors (see below), whose sum is σ = 21074164188. Its totient is φ = 19269564864.

The previous prime is 20152503089. The next prime is 20152503149. The reversal of 20152503101 is 10130525102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 371487076 + 19781016025 = 19274^2 + 140645^2 .

It is not a de Polignac number, because 20152503101 - 222 = 20148308797 is a prime.

It is a super-2 number, since 2×201525031012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152553101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192351 + ... + 2201523.

It is an arithmetic number, because the mean of its divisors is an integer number (1756180349).

Almost surely, 220152503101 is an apocalyptic number.

It is an amenable number.

20152503101 is a deficient number, since it is larger than the sum of its proper divisors (921661087).

20152503101 is an equidigital number, since it uses as much as digits as its factorization.

20152503101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 20152503101 in words is "twenty billion, one hundred fifty-two million, five hundred three thousand, one hundred one".

Divisors: 1 23 529 4153 9173 95519 210979 2196937 4852517 38095469 876195787 20152503101