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150301001520 = 243558393151
BaseRepresentation
bin1000101111111010100…
…0110100011100110000
3112100221201211222100000
42023332220310130300
54430304024022040
6153014120030000
713600412301465
oct2137650643460
9470851758300
10150301001520
1158818aa703a
1225167602300
1311233a3b077
1473bb74566c
153d9a23a130
hex22fea34730

150301001520 has 240 divisors, whose sum is σ = 529768092672. Its totient is φ = 39596947200.

The previous prime is 150301001489. The next prime is 150301001563. The reversal of 150301001520 is 25100103051.

150301001520 is a `hidden beast` number, since 1 + 503 + 0 + 10 + 0 + 152 + 0 = 666.

150301001520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 150301001493 and 150301001502.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1566945 + ... + 1660095.

Almost surely, 2150301001520 is an apocalyptic number.

150301001520 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 150301001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264884046336).

150301001520 is an abundant number, since it is smaller than the sum of its proper divisors (379467091152).

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

150301001520 is an equidigital number, since it uses as much as digits as its factorization.

150301001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93262 (or 93244 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 150301001520 its reverse (25100103051), we get a palindrome (175401104571).

The spelling of 150301001520 in words is "one hundred fifty billion, three hundred one million, one thousand, five hundred twenty".