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104434301100 = 22352595900243
BaseRepresentation
bin110000101000011000…
…1001111100010101100
3100222120012120011210210
41201100301033202230
53202340140113400
6115550525302420
710354656625023
oct1412061174254
9328505504723
10104434301100
1140321493158
12182a6a04a10
139b043c234c
1450a9d478ba
152ab369b950
hex1850c4f8ac

104434301100 has 72 divisors (see below), whose sum is σ = 307284707520. Its totient is φ = 27377122880.

The previous prime is 104434301039. The next prime is 104434301119. The reversal of 104434301100 is 1103434401.

104434301100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1044343011002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932422 + ... + 2967821.

It is an arithmetic number, because the mean of its divisors is an integer number (4267843160).

Almost surely, 2104434301100 is an apocalyptic number.

104434301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104434301100 is an abundant number, since it is smaller than the sum of its proper divisors (202850406420).

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

104434301100 is a wasteful number, since it uses less digits than its factorization.

104434301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900319 (or 5900312 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 104434301100 its reverse (1103434401), we get a palindrome (105537735501).

It can be divided in two parts, 104434301 and 100, that added together give a palindrome (104434401).

The spelling of 104434301100 in words is "one hundred four billion, four hundred thirty-four million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 5900243 11800486 17700729 23600972 29501215 35401458 59002430 70802916 88503645 118004860 147506075 177007290 295012150 348114337 354014580 442518225 590024300 696228674 885036450 1044343011 1392457348 1740571685 1770072900 2088686022 3481143370 4177372044 5221715055 6962286740 8702858425 10443430110 17405716850 20886860220 26108575275 34811433700 52217150550 104434301100