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100141118 = 271117291319
BaseRepresentation
bin1011111100000…
…00100000111110
320222102200210022
411332000200332
5201114003433
613534212142
72324120420
oct576004076
9228380708
10100141118
1151588560
1229654052
1317992acc
14d42a810
158bd1698
hex5f8083e

100141118 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 35427840.

The previous prime is 100141117. The next prime is 100141123. The reversal of 100141118 is 811141001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 100141096 and 100141105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100141117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75263 + ... + 76581.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2100141118 is an apocalyptic number.

100141118 is an abundant number, since it is smaller than the sum of its proper divisors (105145282).

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

100141118 is a wasteful number, since it uses less digits than its factorization.

100141118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its (nonzero) digits is 32, while the sum is 17.

The square root of 100141118 is about 10007.0534124686. The cubic root of 100141118 is about 464.3771179817.

Adding to 100141118 its reverse (811141001), we get a palindrome (911282119).

The spelling of 100141118 in words is "one hundred million, one hundred forty-one thousand, one hundred eighteen".

Divisors: 1 2 7 11 14 17 22 29 34 58 77 119 154 187 203 238 319 374 406 493 638 986 1309 1319 2233 2618 2638 3451 4466 5423 6902 9233 10846 14509 18466 22423 29018 37961 38251 44846 75922 76502 101563 156961 203126 246653 267757 313922 420761 493306 535514 650267 841522 1300534 1726571 2945327 3453142 4551869 5890654 7152937 9103738 14305874 50070559 100141118