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165148011 = 3372921039
BaseRepresentation
bin10011101011111…
…11010101101011
3102111202101111000
421311333111223
5314234214021
624215410043
74043510040
oct1165772553
9374671430
10165148011
1185249166
1247383923
13282a3a22
1417d0d1c7
15e772b26
hex9d7f56b

165148011 has 48 divisors (see below), whose sum is σ = 289868800. Its totient is φ = 91028448.

The previous prime is 165148007. The next prime is 165148043. The reversal of 165148011 is 110841561.

165148011 is a `hidden beast` number, since 1 + 651 + 4 + 8 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 165148011 - 22 = 165148007 is a prime.

It is a super-2 number, since 2×1651480112 = 54547731074512242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165148001) 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 47 ways as a sum of consecutive naturals, for example, 158430 + ... + 159468.

Almost surely, 2165148011 is an apocalyptic number.

165148011 is a deficient number, since it is larger than the sum of its proper divisors (124720789).

165148011 is a wasteful number, since it uses less digits than its factorization.

165148011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 165148011 is about 12850.9926075771. The cubic root of 165148011 is about 548.6446085932.

Adding to 165148011 its reverse (110841561), we get a palindrome (275989572).

The spelling of 165148011 in words is "one hundred sixty-five million, one hundred forty-eight thousand, eleven".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 841 1039 1827 2523 3117 5481 5887 7273 7569 9351 17661 21819 22707 28053 30131 52983 65457 90393 158949 196371 210917 271179 632751 813537 873799 1898253 2621397 5694759 6116593 7864191 18349779 23592573 55049337 165148011