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145100310 = 2353723533
BaseRepresentation
bin10001010011000…
…00111000010110
3101010000212012120
420221200320112
5244121202220
622222000410
73411221655
oct1051407026
9333025176
10145100310
11749a6013
1240716106
13240a4994
14153b119c
15cb12a40
hex8a60e16

145100310 has 48 divisors (see below), whose sum is σ = 358008336. Its totient is φ = 37636992.

The previous prime is 145100299. The next prime is 145100377. The reversal of 145100310 is 13001541.

It is a super-2 number, since 2×1451003102 = 42108199924192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 145100310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39304 + ... + 42836.

It is an arithmetic number, because the mean of its divisors is an integer number (7458507).

Almost surely, 2145100310 is an apocalyptic number.

145100310 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 145100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179004168).

145100310 is an abundant number, since it is smaller than the sum of its proper divisors (212908026).

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

145100310 is a wasteful number, since it uses less digits than its factorization.

145100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 145100310 is about 12045.7590047286. The cubic root of 145100310 is about 525.4799058525.

Adding to 145100310 its reverse (13001541), we get a palindrome (158101851).

The spelling of 145100310 in words is "one hundred forty-five million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1369 2738 3533 4107 6845 7066 8214 10599 13690 17665 20535 21198 35330 41070 52995 105990 130721 261442 392163 653605 784326 1307210 1960815 3921630 4836677 9673354 14510031 24183385 29020062 48366770 72550155 145100310