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104343434100 = 223252611900609
BaseRepresentation
bin110000100101101011…
…0100111001101110100
3100222022212120122201100
41201023112213031310
53202143404342400
6115533521530100
710352504361453
oct1411326471564
9328285518640
10104343434100
114028516a464
12182804a3930
139abb6288a9
14509bc52b9a
152aaa6ed100
hex184b5a7374

104343434100 has 108 divisors (see below), whose sum is σ = 332420490220. Its totient is φ = 27368755200.

The previous prime is 104343434093. The next prime is 104343434101. The reversal of 104343434100 is 1434343401.

It can be written as a sum of positive squares in 6 ways, for example, as 2309186916 + 102034247184 = 48054^2 + 319428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104343434101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 895405 + ... + 1005204.

Almost surely, 2104343434100 is an apocalyptic number.

104343434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104343434100 is an abundant number, since it is smaller than the sum of its proper divisors (228077056120).

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

104343434100 is a wasteful number, since it uses less digits than its factorization.

104343434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900690 (or 1900680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104343434100 its reverse (1434343401), we get a palindrome (105777777501).

The spelling of 104343434100 in words is "one hundred four billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 1900609 3801218 5701827 7602436 9503045 11403654 17105481 19006090 22807308 28509135 34210962 38012180 47515225 57018270 68421924 85527405 95030450 114036540 115937149 142545675 171054810 190060900 231874298 285091350 342109620 347811447 427637025 463748596 570182700 579685745 695622894 855274050 1043434341 1159371490 1391245788 1710548100 1739057235 2086868682 2318742980 2898428725 3478114470 4173737364 5217171705 5796857450 6956228940 8695286175 10434343410 11593714900 17390572350 20868686820 26085858525 34781144700 52171717050 104343434100