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152115354105 = 351113277725537
BaseRepresentation
bin1000110110101011001…
…0000001100111111001
3112112122011212122011220
42031222302001213321
54443013012312410
6153514131542253
713663363114251
oct2155262014771
9475564778156
10152115354105
115956a173a90
122559315a989
13114628b4b90
1475106b6961
153e5467b070
hex236ac819f9

152115354105 has 64 divisors (see below), whose sum is σ = 286048482048. Its totient is φ = 68052418560.

The previous prime is 152115354089. The next prime is 152115354109. The reversal of 152115354105 is 501453511251.

It is a happy number.

152115354105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152115354105 - 24 = 152115354089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (152115354109) 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 63 ways as a sum of consecutive naturals, for example, 5943897 + ... + 5969433.

It is an arithmetic number, because the mean of its divisors is an integer number (4469507532).

Almost surely, 2152115354105 is an apocalyptic number.

152115354105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152115354105 is a deficient number, since it is larger than the sum of its proper divisors (133933127943).

152115354105 is a wasteful number, since it uses less digits than its factorization.

152115354105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28346.

The product of its (nonzero) digits is 15000, while the sum is 33.

Adding to 152115354105 its reverse (501453511251), we get a palindrome (653568865356).

The spelling of 152115354105 in words is "one hundred fifty-two billion, one hundred fifteen million, three hundred fifty-four thousand, one hundred five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2145 2777 8331 13885 25537 30547 36101 41655 76611 91641 108303 127685 152735 180505 280907 331981 383055 397111 458205 541515 842721 995943 1191333 1404535 1659905 1985555 3651791 4213605 4979715 5956665 10955373 18258955 54776865 70916249 212748747 354581245 780078739 921911237 1063743735 2340236217 2765733711 3900393695 4609556185 10141023607 11701181085 13828668555 30423070821 50705118035 152115354105