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101666466 = 232114631109
BaseRepresentation
bin1100000111101…
…00111010100010
321002022012011200
412003310322202
5202011311331
614031022030
72343102456
oct603647242
9232265150
10101666466
115242a580
122a06a916
13180a8195
14d706666
158dd35e6
hex60f4ea2

101666466 has 48 divisors (see below), whose sum is σ = 241038720. Its totient is φ = 30713760.

The previous prime is 101666441. The next prime is 101666483. The reversal of 101666466 is 664666101.

It is a self number, because there is not a number n which added to its sum of digits gives 101666466.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91120 + ... + 92228.

It is an arithmetic number, because the mean of its divisors is an integer number (5021640).

Almost surely, 2101666466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101666466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120519360).

101666466 is an abundant number, since it is smaller than the sum of its proper divisors (139372254).

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

101666466 is a wasteful number, since it uses less digits than its factorization.

101666466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 101666466 is about 10082.9790240782. The cubic root of 101666466 is about 466.7230420555.

The spelling of 101666466 in words is "one hundred one million, six hundred sixty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 463 926 1109 1389 2218 2778 3327 4167 5093 6654 8334 9981 10186 12199 15279 19962 24398 30558 36597 45837 73194 91674 109791 219582 513467 1026934 1540401 3080802 4621203 5648137 9242406 11296274 16944411 33888822 50833233 101666466