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36135099 = 33721113191
BaseRepresentation
bin1000100111011…
…0000010111011
32111222212001000
42021312002323
533222310344
63330300043
7616100100
oct211660273
974885030
1036135099
1119440920
1210127623
137642620
144b28aa7
15328ba69
hex22760bb

36135099 has 96 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 17236800.

The previous prime is 36135097. The next prime is 36135101. The reversal of 36135099 is 99053163.

36135099 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36135097) and next prime (36135101).

It is not a de Polignac number, because 36135099 - 21 = 36135097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36135091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189094 + ... + 189284.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 236135099 is an apocalyptic number.

36135099 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

36135099 is an abundant number, since it is smaller than the sum of its proper divisors (37408581).

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

36135099 is a wasteful number, since it uses less digits than its factorization.

36135099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 36135099 is about 6011.2477074231. The cubic root of 36135099 is about 330.6052528637.

The spelling of 36135099 in words is "thirty-six million, one hundred thirty-five thousand, ninety-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 91 99 117 143 147 189 191 231 273 297 351 429 441 539 573 637 693 819 1001 1287 1323 1337 1617 1719 1911 2079 2101 2457 2483 3003 3861 4011 4851 5157 5733 6303 7007 7449 9009 9359 12033 14553 14707 17199 17381 18909 21021 22347 27027 27313 28077 36099 44121 52143 56727 63063 67041 81939 84231 102949 121667 132363 156429 189189 191191 245817 252693 308847 365001 397089 469287 573573 737451 926541 1095003 1338337 1720719 2779623 3285009 4015011 5162157 12045033 36135099