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166101219 = 3313214657
BaseRepresentation
bin10011110011010…
…00000011100011
3102120112211001000
421321220003203
5320010214334
624252043043
74054560054
oct1171500343
9376484030
10166101219
118583a339
1247763483
132854885b
14180ba72b
15e8b0299
hex9e680e3

166101219 has 16 divisors (see below), whose sum is σ = 246315040. Its totient is φ = 110626560.

The previous prime is 166101179. The next prime is 166101233. The reversal of 166101219 is 912101661.

It is a de Polignac number, because none of the positive numbers 2k-166101219 is a prime.

It is a super-2 number, since 2×1661012192 = 55179229906571922, 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 a junction number, because it is equal to n+sod(n) for n = 166101192 and 166101201.

It is not an unprimeable number, because it can be changed into a prime (166101269) 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 15 ways as a sum of consecutive naturals, for example, 33339 + ... + 37995.

It is an arithmetic number, because the mean of its divisors is an integer number (15394690).

Almost surely, 2166101219 is an apocalyptic number.

166101219 is a deficient number, since it is larger than the sum of its proper divisors (80213821).

166101219 is a wasteful number, since it uses less digits than its factorization.

166101219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 166101219 is about 12888.0261871242. The cubic root of 166101219 is about 549.6981473142.

The spelling of 166101219 in words is "one hundred sixty-six million, one hundred one thousand, two hundred nineteen".

Divisors: 1 3 9 27 1321 3963 4657 11889 13971 35667 41913 125739 6151897 18455691 55367073 166101219