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101042431110 = 232519101585041
BaseRepresentation
bin101111000011010011…
…0010010010010000110
3100122210211011022220100
41132012212102102012
53123413330243420
6114230201544530
710204632331155
oct1360646222206
9318724138810
10101042431110
1139940900015
12176baaa5146
1396b3784b9a
144c6769559c
1529659ed190
hex1786992486

101042431110 has 96 divisors (see below), whose sum is σ = 279275649120. Its totient is φ = 25273728000.

The previous prime is 101042431109. The next prime is 101042431141. The reversal of 101042431110 is 11134240101.

101042431110 is a `hidden beast` number, since 101 + 0 + 424 + 31 + 110 = 666.

101042431110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119811 + ... + 465230.

It is an arithmetic number, because the mean of its divisors is an integer number (2909121345).

Almost surely, 2101042431110 is an apocalyptic number.

101042431110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101042431110 is an abundant number, since it is smaller than the sum of its proper divisors (178233218010).

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

101042431110 is a wasteful number, since it uses less digits than its factorization.

101042431110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585174 (or 585171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101042431110 its reverse (11134240101), we get a palindrome (112176671211).

The spelling of 101042431110 in words is "one hundred one billion, forty-two million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 101 114 171 190 202 285 303 342 505 570 606 855 909 1010 1515 1710 1818 1919 3030 3838 4545 5757 9090 9595 11514 17271 19190 28785 34542 57570 86355 172710 585041 1170082 1755123 2925205 3510246 5265369 5850410 8775615 10530738 11115779 17551230 22231558 26326845 33347337 52653690 55578895 59089141 66694674 100042011 111157790 118178282 166736685 177267423 200084022 295445705 333473370 354534846 500210055 531802269 590891410 886337115 1000420110 1063604538 1122693679 1772674230 2245387358 2659011345 3368081037 5318022690 5613468395 6736162074 10104243111 11226936790 16840405185 20208486222 33680810370 50521215555 101042431110