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13045062030 = 2357112131723101
BaseRepresentation
bin11000010011000101…
…11101100110001110
31020200010120210221120
430021202331212032
5203204013441110
65554240541410
7641161124550
oct141142754616
936603523846
1013045062030
115594663200
122640921866
1312cb81b620
148ba7394d0
155153a3870
hex3098bd98e

13045062030 has 768 divisors, whose sum is σ = 47259168768. Its totient is φ = 2230272000.

The previous prime is 13045062011. The next prime is 13045062049. The reversal of 13045062030 is 3026054031.

It is a happy number.

13045062030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13045062011) and next prime (13045062049).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 129158980 + ... + 129159080.

It is an arithmetic number, because the mean of its divisors is an integer number (61535376).

Almost surely, 213045062030 is an apocalyptic number.

13045062030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045062030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629584384).

13045062030 is an abundant number, since it is smaller than the sum of its proper divisors (34214106738).

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

13045062030 is a wasteful number, since it uses less digits than its factorization.

13045062030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

It can be divided in two parts, 1304506 and 2030, that added together give a triangular number (1306536 = T1616).

The spelling of 13045062030 in words is "thirteen billion, forty-five million, sixty-two thousand, thirty".