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210145413135 = 3575337761979
BaseRepresentation
bin1100001110110110100…
…1001000100000001111
3202002102101200001221110
43003231221020200033
511420334211210020
6240312305303103
721116412352650
oct3035551104017
9662371601843
10210145413135
1181138675259
1234889334a93
1316a80190808
14a257697527
1556edea78e0
hex30eda4880f

210145413135 has 32 divisors (see below), whose sum is σ = 391516208640. Its totient is φ = 94253897088.

The previous prime is 210145413131. The next prime is 210145413143. The reversal of 210145413135 is 531314541012.

It is not a de Polignac number, because 210145413135 - 22 = 210145413131 is a prime.

It is a super-2 number, since 2×2101454131352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210145413131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18875425 + ... + 18886554.

It is an arithmetic number, because the mean of its divisors is an integer number (12234881520).

Almost surely, 2210145413135 is an apocalyptic number.

210145413135 is a deficient number, since it is larger than the sum of its proper divisors (181370795505).

210145413135 is a wasteful number, since it uses less digits than its factorization.

210145413135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37762047.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 210145413135 its reverse (531314541012), we get a palindrome (741459954147).

The spelling of 210145413135 in words is "two hundred ten billion, one hundred forty-five million, four hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 795 1113 1855 5565 37761979 113285937 188809895 264333853 566429685 793001559 1321669265 2001384887 3965007795 6004154661 10006924435 14009694209 30020773305 42029082627 70048471045 210145413135