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103434014221110 = 23259373137390991
BaseRepresentation
bin10111100001001010011011…
…101011001110001100110110
3111120020012021021220122020200
4113201022123223032030312
5102024130330120033420
61003552532525141330
730533601203332626
oct2741123353161466
9446205237818220
10103434014221110
112aa59134565a91
12b7262560ba846
134593a2a209921
141b783394cc886
15be5851b69b90
hex5e129bace336

103434014221110 has 96 divisors (see below), whose sum is σ = 269301955208832. Its totient is φ = 27544113192960.

The previous prime is 103434014221103. The next prime is 103434014221129. The reversal of 103434014221110 is 11122410434301.

It is a happy number.

103434014221110 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 401 + 42 + 211 + 1 + 0 = 666.

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, 264347715 + ... + 264738705.

It is an arithmetic number, because the mean of its divisors is an integer number (2805228700092).

Almost surely, 2103434014221110 is an apocalyptic number.

103434014221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103434014221110 is an abundant number, since it is smaller than the sum of its proper divisors (165867940987722).

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

103434014221110 is a wasteful number, since it uses less digits than its factorization.

103434014221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395078 (or 395075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103434014221110 its reverse (11122410434301), we get a palindrome (114556424655411).

The spelling of 103434014221110 in words is "one hundred three trillion, four hundred thirty-four billion, fourteen million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 937 1874 2811 3137 4685 5622 6274 8433 9370 9411 14055 15685 16866 18822 28110 28233 31370 42165 47055 56466 84330 94110 141165 282330 390991 781982 1172973 1954955 2345946 2939369 3518919 3909910 5864865 5878738 7037838 8818107 11729730 14696845 17594595 17636214 26454321 29393690 35189190 44090535 52908642 88181070 132271605 264543210 366358567 732717134 1099075701 1226538767 1831792835 2198151402 2453077534 3297227103 3663585670 3679616301 5495378505 6132693835 6594454206 7359232602 10990757010 11038848903 12265387670 16486135515 18398081505 22077697806 32972271030 36796163010 55194244515 110388489030 1149266824679 2298533649358 3447800474037 5746334123395 6895600948074 10343401422111 11492668246790 17239002370185 20686802844222 34478004740370 51717007110555 103434014221110