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201005442 = 23311230763
BaseRepresentation
bin10111111101100…
…01100110000010
3112000020010122000
423332301212002
5402424133232
631540124430
74660342461
oct1376614602
9460203560
10201005442
11a350a400
1257396716
1332849b41
141c9a49d8
15129a727c
hexbfb1982

201005442 has 48 divisors (see below), whose sum is σ = 490993440. Its totient is φ = 60908760.

The previous prime is 201005429. The next prime is 201005443. The reversal of 201005442 is 244500102.

201005442 is a `hidden beast` number, since 20 + 100 + 544 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201005443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8848 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (10229030).

Almost surely, 2201005442 is an apocalyptic number.

201005442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201005442 is an abundant number, since it is smaller than the sum of its proper divisors (289987998).

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

201005442 is a wasteful number, since it uses less digits than its factorization.

201005442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30796 (or 30779 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201005442 is about 14177.6388020008. The cubic root of 201005442 is about 585.7818867783.

Adding to 201005442 its reverse (244500102), we get a palindrome (445505544).

The spelling of 201005442 in words is "two hundred one million, five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 30763 61526 92289 184578 276867 338393 553734 676786 830601 1015179 1661202 2030358 3045537 3722323 6091074 7444646 9136611 11166969 18273222 22333938 33500907 67001814 100502721 201005442