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201030032 = 24717195557
BaseRepresentation
bin10111111101101…
…11100110010000
3112000021101100202
423332313212100
5402430430112
631540434332
74660504250
oct1376674620
9460241322
10201030032
11a3526925
12573a89a8
13328580a8
141c9ad960
15129ae6c2
hexbfb7990

201030032 has 80 divisors (see below), whose sum is σ = 496218240. Its totient is φ = 76806144.

The previous prime is 201030023. The next prime is 201030041. The reversal of 201030032 is 230030102.

It is an interprime number because it is at equal distance from previous prime (201030023) and next prime (201030041).

It is a junction number, because it is equal to n+sod(n) for n = 201029995 and 201030022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33398 + ... + 38954.

It is an arithmetic number, because the mean of its divisors is an integer number (6202728).

Almost surely, 2201030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248109120).

201030032 is an abundant number, since it is smaller than the sum of its proper divisors (295188208).

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

201030032 is a wasteful number, since it uses less digits than its factorization.

201030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 201030032 is about 14178.5059861750. The cubic root of 201030032 is about 585.8057730126.

Adding to 201030032 its reverse (230030102), we get a palindrome (431060134).

The spelling of 201030032 in words is "two hundred one million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 5557 9044 11114 18088 22228 36176 38899 44456 77798 88912 94469 105583 155596 188938 211166 311192 377876 422332 622384 661283 739081 755752 844664 1322566 1478162 1511504 1689328 1794911 2645132 2956324 3589822 5290264 5912648 7179644 10580528 11825296 12564377 14359288 25128754 28718576 50257508 100515016 201030032