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15123201320 = 2351133345841
BaseRepresentation
bin11100001010110100…
…11011110100101000
31110000221222020010102
432011122123310220
5221433014420240
610540354404532
71043524042643
oct160532336450
943027866112
1015123201320
11646071aa97
122b20890748
131570224146
14a36734a5a
155d7a4d815
hex38569bd28

15123201320 has 32 divisors (see below), whose sum is σ = 34328338920. Its totient is φ = 5995745280.

The previous prime is 15123201307. The next prime is 15123201337. The reversal of 15123201320 is 2310232151.

15123201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7807136164 + 7316065156 = 88358^2 + 85534^2 .

It is a super-2 number, since 2×151232013202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 15123201292 and 15123201301.

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 7 ways as a sum of consecutive naturals, for example, 1668401 + ... + 1677440.

Almost surely, 215123201320 is an apocalyptic number.

15123201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15123201320 is an abundant number, since it is smaller than the sum of its proper divisors (19205137600).

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

15123201320 is a wasteful number, since it uses less digits than its factorization.

15123201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345965 (or 3345961 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 15123201320 its reverse (2310232151), we get a palindrome (17433433471).

The spelling of 15123201320 in words is "fifteen billion, one hundred twenty-three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 3345841 6691682 13383364 16729205 26766728 33458410 66916820 133833640 378080033 756160066 1512320132 1890400165 3024640264 3780800330 7561600660 15123201320