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141305310 = 2345434057
BaseRepresentation
bin10000110110000…
…10010111011110
3100211220001110000
420123002113132
5242133232220
622004355130
73334034556
oct1033022736
9324801400
10141305310
1172843853
123b3a5aa6
1323376513
1414aa4166
15c613390
hex86c25de

141305310 has 80 divisors (see below), whose sum is σ = 388886256. Its totient is φ = 36796032.

The previous prime is 141305303. The next prime is 141305321. The reversal of 141305310 is 13503141.

141305310 is a `hidden beast` number, since 1 + 4 + 130 + 531 + 0 = 666.

141305310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413053102 = 39934381268392200, 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32802 + ... + 36858.

Almost surely, 2141305310 is an apocalyptic number.

141305310 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 141305310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194443128).

141305310 is an abundant number, since it is smaller than the sum of its proper divisors (247580946).

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

141305310 is a wasteful number, since it uses less digits than its factorization.

141305310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4110 counting only the distinct ones).

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

The square root of 141305310 is about 11887.1910054478. The cubic root of 141305310 is about 520.8581859643.

Adding to 141305310 its reverse (13503141), we get a palindrome (154808451).

The spelling of 141305310 in words is "one hundred forty-one million, three hundred five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 4057 5805 6966 8114 11610 12171 17415 20285 24342 34830 36513 40570 60855 73026 109539 121710 174451 182565 219078 328617 348902 365130 523353 547695 657234 872255 1046706 1095390 1570059 1643085 1744510 2616765 3140118 3286170 4710177 5233530 7850295 9420354 14130531 15700590 23550885 28261062 47101770 70652655 141305310