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100741014 = 23211171732
BaseRepresentation
bin1100000000100…
…10111110010110
321000120011200200
412000102332112
5201242203024
613555121330
72332166403
oct600227626
9230504620
10100741014
1151958240
12298a3246
1317b42b8a
14d5452aa
158c9e2c9
hex6012f96

100741014 has 72 divisors (see below), whose sum is σ = 253587672. Its totient is φ = 28565760.

The previous prime is 100741013. The next prime is 100741019. The reversal of 100741014 is 410147001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100741013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582232 + ... + 582404.

It is an arithmetic number, because the mean of its divisors is an integer number (3522051).

Almost surely, 2100741014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100741014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126793836).

100741014 is an abundant number, since it is smaller than the sum of its proper divisors (152846658).

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

100741014 is a wasteful number, since it uses less digits than its factorization.

100741014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100741014 is about 10036.9823154173. The cubic root of 100741014 is about 465.3025571709.

Adding to 100741014 its reverse (410147001), we get a palindrome (510888015).

The spelling of 100741014 in words is "one hundred million, seven hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 173 187 198 306 346 374 519 561 1038 1122 1557 1683 1903 2941 3114 3366 3806 5709 5882 8823 11418 17127 17646 26469 29929 32351 34254 52938 59858 64702 89787 97053 179574 194106 269361 291159 329219 508793 538722 582318 658438 987657 1017586 1526379 1975314 2962971 3052758 4579137 5596723 5925942 9158274 11193446 16790169 33580338 50370507 100741014