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104031114100 = 225217611003193
BaseRepresentation
bin110000011100010111…
…1001101001101110100
3100221112002220011012221
41200320233031031310
53201023431122400
6115442523452124
710341662610514
oct1407057151564
9327462804187
10104031114100
1140134940861
12181b3987044
139a6ba06264
14506c593844
152a8d0a8c1a
hex1838bcd374

104031114100 has 72 divisors (see below), whose sum is σ = 242945497368. Its totient is φ = 38522572800.

The previous prime is 104031114097. The next prime is 104031114139. The reversal of 104031114100 is 1411130401.

It can be written as a sum of positive squares in 12 ways, for example, as 59475503376 + 44555610724 = 243876^2 + 211082^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397897 + ... + 605296.

It is an arithmetic number, because the mean of its divisors is an integer number (3374243019).

Almost surely, 2104031114100 is an apocalyptic number.

104031114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104031114100 is an abundant number, since it is smaller than the sum of its proper divisors (138914383268).

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

104031114100 is a wasteful number, since it uses less digits than its factorization.

104031114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003285 (or 1003278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 104031114100 its reverse (1411130401), we get a palindrome (105442244501).

The spelling of 104031114100 in words is "one hundred four billion, thirty-one million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 51850 103700 1003193 2006386 4012772 5015965 10031930 17054281 20063860 25079825 34108562 50159650 61194773 68217124 85271405 100319300 122389546 170542810 244779092 305973865 341085620 426357025 611947730 852714050 1040311141 1223895460 1529869325 1705428100 2080622282 3059738650 4161244564 5201555705 6119477300 10403111410 20806222820 26007778525 52015557050 104031114100