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120104100 = 22335244483
BaseRepresentation
bin1110010100010…
…10010010100100
322100222220212000
413022022102210
5221221312400
615530125300
72655603504
oct712122244
9270886760
10120104100
1161882a96
1234280830
131bb6241c
1411d45a04
15a826600
hex728a4a4

120104100 has 72 divisors (see below), whose sum is σ = 386121120. Its totient is φ = 32027040.

The previous prime is 120104081. The next prime is 120104123. The reversal of 120104100 is 1401021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19542 + ... + 24941.

Almost surely, 2120104100 is an apocalyptic number.

120104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120104100 is an abundant number, since it is smaller than the sum of its proper divisors (266017020).

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

120104100 is a wasteful number, since it uses less digits than its factorization.

120104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44506 (or 44493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120104100 is about 10959.2016132563. The cubic root of 120104100 is about 493.3850029073.

Adding to 120104100 its reverse (1401021), we get a palindrome (121505121).

It can be divided in two parts, 12010 and 4100, that added together give a triangular number (16110 = T179).

The spelling of 120104100 in words is "one hundred twenty million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 44483 88966 133449 177932 222415 266898 400347 444830 533796 667245 800694 889660 1112075 1201041 1334490 1601388 2001735 2224150 2402082 2668980 3336225 4003470 4448300 4804164 6005205 6672450 8006940 10008675 12010410 13344900 20017350 24020820 30026025 40034700 60052050 120104100