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104133434100 = 2235210112727061
BaseRepresentation
bin110000011111011010…
…1100001101011110100
3100221210020102112212120
41200332311201223310
53201231124342400
6115501020515540
710344344404533
oct1407665415364
9327706375776
10104133434100
1140187677343
12182220abbb0
139a86c7ca37
14507bdca31a
152a9706aca0
hex183ed61af4

104133434100 has 144 divisors (see below), whose sum is σ = 306683037696. Its totient is φ = 27276480000.

The previous prime is 104133434089. The next prime is 104133434101. The reversal of 104133434100 is 1434331401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133434101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3834570 + ... + 3861630.

Almost surely, 2104133434100 is an apocalyptic number.

104133434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104133434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153341518848).

104133434100 is an abundant number, since it is smaller than the sum of its proper divisors (202549603596).

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

104133434100 is a wasteful number, since it uses less digits than its factorization.

104133434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27306 (or 27299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104133434100 its reverse (1434331401), we get a palindrome (105567765501).

The spelling of 104133434100 in words is "one hundred four billion, one hundred thirty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 127 150 202 254 300 303 381 404 505 508 606 635 762 1010 1212 1270 1515 1524 1905 2020 2525 2540 3030 3175 3810 5050 6060 6350 7575 7620 9525 10100 12700 12827 15150 19050 25654 27061 30300 38100 38481 51308 54122 64135 76962 81183 108244 128270 135305 153924 162366 192405 256540 270610 320675 324732 384810 405915 541220 641350 676525 769620 811830 962025 1282700 1353050 1623660 1924050 2029575 2706100 2733161 3436747 3848100 4059150 5466322 6873494 8118300 8199483 10310241 10932644 13665805 13746988 16398966 17183735 20620482 27331610 32797932 34367470 40997415 41240964 51551205 54663220 68329025 68734940 81994830 85918675 103102410 136658050 163989660 171837350 204987075 206204820 257756025 273316100 343674700 347111447 409974150 515512050 694222894 819948300 1031024100 1041334341 1388445788 1735557235 2082668682 3471114470 4165337364 5206671705 6942228940 8677786175 10413343410 17355572350 20826686820 26033358525 34711144700 52066717050 104133434100