Search a number
-
+
100235058 = 23711239433
BaseRepresentation
bin1011111100101…
…11011100110010
320222121110122120
411332113130302
5201130010213
613540215110
72324661330
oct576273462
9228543576
10100235058
11516420a0
122969a496
13179c67b1
14d452b50
158bee423
hex5f97732

100235058 has 64 divisors (see below), whose sum is σ = 260831232. Its totient is φ = 24900480.

The previous prime is 100235029. The next prime is 100235063. The reversal of 100235058 is 850532001.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 5910 + ... + 15342.

It is an arithmetic number, because the mean of its divisors is an integer number (4075488).

Almost surely, 2100235058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100235058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130415616).

100235058 is an abundant number, since it is smaller than the sum of its proper divisors (160596174).

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

100235058 is a wasteful number, since it uses less digits than its factorization.

100235058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 100235058 is about 10011.7460015724. The cubic root of 100235058 is about 464.5222796418.

Adding to 100235058 its reverse (850532001), we get a palindrome (950767059).

The spelling of 100235058 in words is "one hundred million, two hundred thirty-five thousand, fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 9433 10626 18866 28299 56598 66031 103763 132062 198093 207526 216959 311289 396186 433918 622578 650877 726341 1301754 1452682 1518713 2179023 2386549 3037426 4358046 4556139 4773098 7159647 9112278 14319294 16705843 33411686 50117529 100235058