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15210420132 = 223171937671583
BaseRepresentation
bin11100010101001110…
…01001011110100100
31110021001002101211210
432022213021132210
5222122331421012
610553152031420
71045633303125
oct161247113644
943231071753
1015210420132
1164a5981856
122b45b32570
1315853111cb
14a4415a04c
155e052b23c
hex38a9c97a4

15210420132 has 192 divisors, whose sum is σ = 41258004480. Its totient is φ = 4330174464.

The previous prime is 15210420101. The next prime is 15210420157. The reversal of 15210420132 is 23102401251.

15210420132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15210420099 and 15210420108.

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 63 ways as a sum of consecutive naturals, for example, 9607813 + ... + 9609395.

It is an arithmetic number, because the mean of its divisors is an integer number (214885440).

Almost surely, 215210420132 is an apocalyptic number.

15210420132 is a gapful number since it is divisible by the number (12) 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 15210420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629002240).

15210420132 is an abundant number, since it is smaller than the sum of its proper divisors (26047584348).

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

15210420132 is a wasteful number, since it uses less digits than its factorization.

15210420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 15210420132 its reverse (23102401251), we get a palindrome (38312821383).

The spelling of 15210420132 in words is "fifteen billion, two hundred ten million, four hundred twenty thousand, one hundred thirty-two".