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201141024 = 2537299317
BaseRepresentation
bin10111111110100…
…10101100100000
3112000111000121120
423333102230200
5402443003044
631543052240
74661445660
oct1377225440
9460430546
10201141024
11a35a2257
1257441080
1332896776
141c9dc1a0
15129d2519
hexbfd2b20

201141024 has 48 divisors (see below), whose sum is σ = 603425088. Its totient is φ = 57468672.

The previous prime is 201141023. The next prime is 201141029. The reversal of 201141024 is 420141102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 201140994 and 201141012.

It is not an unprimeable number, because it can be changed into a prime (201141023) 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, 148987 + ... + 150330.

It is an arithmetic number, because the mean of its divisors is an integer number (12571356).

Almost surely, 2201141024 is an apocalyptic number.

201141024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201141024 is an abundant number, since it is smaller than the sum of its proper divisors (402284064).

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

201141024 is a wasteful number, since it uses less digits than its factorization.

201141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299337 (or 299329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201141024 is about 14182.4195396977. The cubic root of 201141024 is about 585.9135641906.

Adding to 201141024 its reverse (420141102), we get a palindrome (621282126).

The spelling of 201141024 in words is "two hundred one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 299317 598634 897951 1197268 1795902 2095219 2394536 3591804 4190438 4789072 6285657 7183608 8380876 9578144 12571314 14367216 16761752 25142628 28734432 33523504 50285256 67047008 100570512 201141024