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3000105135 = 34531832879
BaseRepresentation
bin1011001011010001…
…1111100010101111
321202002020010120000
42302310133202233
522121011331020
61213410355343
7134226321126
oct26264374257
97662203500
103000105135
1112aa532435
126b888bb53
1338a720351
14206632abd
151285b5090
hexb2d1f8af

3000105135 has 80 divisors (see below), whose sum is σ = 5620285440. Its totient is φ = 1529254080.

The previous prime is 3000105133. The next prime is 3000105137. The reversal of 3000105135 is 5315010003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3000105133) and next prime (3000105137).

It is not a de Polignac number, because 3000105135 - 21 = 3000105133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000105133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1040626 + ... + 1043504.

It is an arithmetic number, because the mean of its divisors is an integer number (70253568).

Almost surely, 23000105135 is an apocalyptic number.

3000105135 is a deficient number, since it is larger than the sum of its proper divisors (2620180305).

3000105135 is a wasteful number, since it uses less digits than its factorization.

3000105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 3000105135 is about 54773.2154889596. The cubic root of 3000105135 is about 1442.2664179893.

Adding to 3000105135 its reverse (5315010003), we get a palindrome (8315115138).

The spelling of 3000105135 in words is "three billion, one hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 81 83 93 135 155 249 279 405 415 465 747 837 1245 1395 2241 2511 2573 2879 3735 4185 6723 7719 8637 11205 12555 12865 14395 23157 25911 33615 38595 43185 69471 77733 89249 115785 129555 208413 233199 238957 267747 347355 388665 446245 716871 803241 1042065 1165995 1194785 1338735 2150613 2409723 3584355 4016205 6451839 7229169 7407667 10753065 12048615 19355517 22223001 32259195 36145845 37038335 66669003 96777585 111115005 200007009 333345015 600021027 1000035045 3000105135