Search a number
-
+
101020332 = 22375322691
BaseRepresentation
bin1100000010101…
…11001010101100
321001002100211210
412001113022230
5201330122312
614005114420
72334441630
oct601271254
9231070753
10101020332
1152029086
12299b8a10
1317c1005a
14d5b8dc0
158d06e3c
hex60572ac

101020332 has 48 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 28317120.

The previous prime is 101020327. The next prime is 101020333. The reversal of 101020332 is 233020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101020333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 15797.

It is an arithmetic number, because the mean of its divisors is an integer number (5718384).

Almost surely, 2101020332 is an apocalyptic number.

101020332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020332 is an abundant number, since it is smaller than the sum of its proper divisors (173462100).

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

101020332 is a wasteful number, since it uses less digits than its factorization.

101020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22758 (or 22756 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101020332 is about 10050.8871250253. The cubic root of 101020332 is about 465.7321982934.

Adding to 101020332 its reverse (233020101), we get a palindrome (334040433).

The spelling of 101020332 in words is "one hundred one million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 22691 45382 68073 90764 136146 158837 272292 317674 476511 635348 953022 1202623 1906044 2405246 3607869 4810492 7215738 8418361 14431476 16836722 25255083 33673444 50510166 101020332