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101666136 = 233112132693
BaseRepresentation
bin1100000111101…
…00110101011000
321002022011201110
412003310311120
5202011304021
614031020320
72343101505
oct603646530
9232264643
10101666136
115242a300
122a06a6a0
13180a7ca0
14d7064ac
158dd3476
hex60f4d58

101666136 has 96 divisors (see below), whose sum is σ = 300973680. Its totient is φ = 28427520.

The previous prime is 101666099. The next prime is 101666179. The reversal of 101666136 is 631666101.

It is a congruent number.

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, 36406 + ... + 39098.

Almost surely, 2101666136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101666136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150486840).

101666136 is an abundant number, since it is smaller than the sum of its proper divisors (199307544).

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

101666136 is a wasteful number, since it uses less digits than its factorization.

101666136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 101666136 is about 10082.9626598535. The cubic root of 101666136 is about 466.7225370750.

The spelling of 101666136 in words is "one hundred one million, six hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2693 2904 3146 3432 4719 5386 6292 8079 9438 10772 12584 16158 18876 21544 29623 32316 35009 37752 59246 64632 70018 88869 105027 118492 140036 177738 210054 236984 280072 325853 355476 385099 420108 651706 710952 770198 840216 977559 1155297 1303412 1540396 1955118 2310594 2606824 3080792 3910236 4236089 4621188 7820472 8472178 9242376 12708267 16944356 25416534 33888712 50833068 101666136