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201101432148 = 22325586150893
BaseRepresentation
bin1011101101001010010…
…1000101010101010100
3201020002002211020100200
42323102211011111110
511243323431312043
6232215033340500
720346323653311
oct2732245052524
9636062736320
10201101432148
1178317574501
1232b84567730
1315c6b581986
149a3a4b3d08
15536eede7d3
hex2ed2945554

201101432148 has 18 divisors (see below), whose sum is σ = 508339731354. Its totient is φ = 67033810704.

The previous prime is 201101432141. The next prime is 201101432149. The reversal of 201101432148 is 841234101102.

201101432148 is a `hidden beast` number, since 201 + 10 + 1 + 432 + 14 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192780708624 + 8320723524 = 439068^2 + 91218^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101432141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2793075411 + ... + 2793075482.

Almost surely, 2201101432148 is an apocalyptic number.

It is an amenable number.

201101432148 is an abundant number, since it is smaller than the sum of its proper divisors (307238299206).

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

201101432148 is a wasteful number, since it uses less digits than its factorization.

201101432148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586150903 (or 5586150898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 201101432148 in words is "two hundred one billion, one hundred one million, four hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5586150893 11172301786 16758452679 22344603572 33516905358 50275358037 67033810716 100550716074 201101432148