Search a number
-
+
101144032 = 2511287341
BaseRepresentation
bin1100000011101…
…01010111100000
321001022122112021
412001311113200
5201343102112
614011511224
72335465363
oct601652740
9231278467
10101144032
1152103010
1229a58514
1317c54452
14d60c0da
158d2d907
hex60755e0

101144032 has 24 divisors (see below), whose sum is σ = 217230552. Its totient is φ = 45974400.

The previous prime is 101144027. The next prime is 101144053. The reversal of 101144032 is 230441101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101143997 and 101144015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143319 + ... + 144022.

It is an arithmetic number, because the mean of its divisors is an integer number (9051273).

Almost surely, 2101144032 is an apocalyptic number.

It is an amenable number.

101144032 is an abundant number, since it is smaller than the sum of its proper divisors (116086520).

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

101144032 is a wasteful number, since it uses less digits than its factorization.

101144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287362 (or 287354 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101144032 is about 10057.0389280344. The cubic root of 101144032 is about 465.9222180407.

Adding to 101144032 its reverse (230441101), we get a palindrome (331585133).

The spelling of 101144032 in words is "one hundred one million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 287341 574682 1149364 2298728 3160751 4597456 6321502 9194912 12643004 25286008 50572016 101144032