Search a number
-
+
101020224 = 2632918143
BaseRepresentation
bin1100000010101…
…11001001000000
321001002100200210
412001113021000
5201330121344
614005114120
72334441414
oct601271100
9231070623
10101020224
1152028a98
12299b8940
1317c0cca6
14d5b8d44
158d06db9
hex6057240

101020224 has 56 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 32510464.

The previous prime is 101020217. The next prime is 101020229. The reversal of 101020224 is 422020101.

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 (101020229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3504 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2101020224 is an apocalyptic number.

It is an amenable number.

101020224 is an abundant number, since it is smaller than the sum of its proper divisors (175494336).

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

101020224 is a wasteful number, since it uses less digits than its factorization.

101020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101020224 is about 10050.8817523638. The cubic root of 101020224 is about 465.7320323232.

Adding to 101020224 its reverse (422020101), we get a palindrome (523040325).

The spelling of 101020224 in words is "one hundred one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 18143 36286 54429 72572 108858 145144 217716 290288 435432 526147 580576 870864 1052294 1161152 1578441 1741728 2104588 3156882 3483456 4209176 6313764 8418352 12627528 16836704 25255056 33673408 50510112 101020224