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141003135 = 32572134919
BaseRepresentation
bin10000110011110…
…00100101111111
3100211022200221100
420121320211333
5242044100020
621554104143
73331335600
oct1031704577
9324280840
10141003135
1172657819
123b27b053
132329bb10
1414a25da7
15c5a3a90
hex867897f

141003135 has 72 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 59488128.

The previous prime is 141003119. The next prime is 141003143. The reversal of 141003135 is 531300141.

It is not a de Polignac number, because 141003135 - 24 = 141003119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26206 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (4253340).

Almost surely, 2141003135 is an apocalyptic number.

141003135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141003135 is an abundant number, since it is smaller than the sum of its proper divisors (165237345).

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

141003135 is a wasteful number, since it uses less digits than its factorization.

141003135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4947 counting only the distinct ones).

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

The square root of 141003135 is about 11874.4740936178. The cubic root of 141003135 is about 520.4866437896.

Adding to 141003135 its reverse (531300141), we get a palindrome (672303276).

The spelling of 141003135 in words is "one hundred forty-one million, three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 4919 5733 9555 14757 24595 28665 34433 44271 63947 73785 103299 172165 191841 221355 241031 309897 319735 447629 516495 575523 723093 959205 1205155 1342887 1549485 2169279 2238145 2877615 3133403 3615465 4028661 6714435 9400209 10846395 15667015 20143305 28200627 47001045 141003135