Search a number
-
+
1145033010 = 236511109131
BaseRepresentation
bin100010000111111…
…1101000100110010
32221210120201000000
41010033331010302
54321112024020
6305342010430
740242422442
oct10417750462
92853521000
101145033010
11538383280
1227b576a16
131532ba334
14ac102122
156a7ce090
hex443fd132

1145033010 has 224 divisors, whose sum is σ = 3427997760. Its totient is φ = 272937600.

The previous prime is 1145033003. The next prime is 1145033017. The reversal of 1145033010 is 103305411.

It is an interprime number because it is at equal distance from previous prime (1145033003) and next prime (1145033017).

It is a super-2 number, since 2×11450330102 = 2622201187979320200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145033017) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8740645 + ... + 8740775.

Almost surely, 21145033010 is an apocalyptic number.

1145033010 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 1145033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713998880).

1145033010 is an abundant number, since it is smaller than the sum of its proper divisors (2282964750).

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

1145033010 is a wasteful number, since it uses less digits than its factorization.

1145033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1145033010 is about 33838.3363952781. The cubic root of 1145033010 is about 1046.1790100983.

Adding to 1145033010 its reverse (103305411), we get a palindrome (1248338421).

The spelling of 1145033010 in words is "one billion, one hundred forty-five million, thirty-three thousand, ten".