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104031121410 = 232517371837681
BaseRepresentation
bin110000011100010111…
…1001111000000000010
3100221112002220112020200
41200320233033000002
53201023431341120
6115442523550030
710341662641026
oct1407057170002
9327462815220
10104031121410
11401349462a7
12181b398b316
139a6ba09698
14506c596386
152a8d0aae90
hex1838bcf002

104031121410 has 96 divisors (see below), whose sum is σ = 294132030192. Its totient is φ = 25404088320.

The previous prime is 104031121379. The next prime is 104031121459. The reversal of 104031121410 is 14121130401.

104031121410 is a `hidden beast` number, since 10 + 403 + 112 + 141 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76578939441 + 27452181969 = 276729^2 + 165687^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 862231 + ... + 975450.

Almost surely, 2104031121410 is an apocalyptic number.

104031121410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104031121410 is an abundant number, since it is smaller than the sum of its proper divisors (190100908782).

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

104031121410 is a wasteful number, since it uses less digits than its factorization.

104031121410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837748 (or 1837745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104031121410 its reverse (14121130401), we get a palindrome (118152251811).

The spelling of 104031121410 in words is "one hundred four billion, thirty-one million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 3145 3330 3774 5661 6290 9435 11322 18870 28305 56610 1837681 3675362 5513043 9188405 11026086 16539129 18376810 27565215 31240577 33078258 55130430 62481154 67994197 82695645 93721731 135988394 156202885 165391290 187443462 203982591 281165193 312405770 339970985 407965182 468608655 562330386 611947773 679941970 937217310 1019912955 1155901349 1223895546 1405825965 2039825910 2311802698 2811651930 3059738865 3467704047 5779506745 6119477730 6935408094 10403112141 11559013490 17338520235 20806224282 34677040470 52015560705 104031121410