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104303031120 = 24325295349057
BaseRepresentation
bin110000100100011110…
…0011111001101010000
3100222020001112222020200
41201020330133031100
53202103033443440
6115525515535200
710351504064511
oct1411074371520
9328201488220
10104303031120
1140264384072
121826aa5a500
139ab31507c2
145096736a08
152aa6dbbc30
hex1848f1f350

104303031120 has 120 divisors (see below), whose sum is σ = 350410108776. Its totient is φ = 27804155904.

The previous prime is 104303031113. The next prime is 104303031127. The reversal of 104303031120 is 21130303401.

It is an interprime number because it is at equal distance from previous prime (104303031113) and next prime (104303031127).

It can be written as a sum of positive squares in 4 ways, for example, as 39351450384 + 64951580736 = 198372^2 + 254856^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 104303031093 and 104303031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104303031127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101632 + ... + 2150688.

Almost surely, 2104303031120 is an apocalyptic number.

104303031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104303031120 is an abundant number, since it is smaller than the sum of its proper divisors (246107077656).

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

104303031120 is a wasteful number, since it uses less digits than its factorization.

104303031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52029 (or 52020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 104303031120 its reverse (21130303401), we get a palindrome (125433334521).

The spelling of 104303031120 in words is "one hundred four billion, three hundred three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2953 5906 8859 11812 14765 17718 23624 26577 29530 35436 44295 47248 49057 53154 59060 70872 88590 98114 106308 118120 132885 141744 147171 177180 196228 212616 236240 245285 265770 294342 354360 392456 425232 441513 490570 531540 588684 708720 735855 784912 883026 981140 1063080 1177368 1471710 1766052 1962280 2126160 2207565 2354736 2943420 3532104 3924560 4415130 5886840 7064208 8830260 11773680 17660520 35321040 144865321 289730642 434595963 579461284 724326605 869191926 1158922568 1303787889 1448653210 1738383852 2172979815 2317845136 2607575778 2897306420 3476767704 4345959630 5215151556 5794612840 6518939445 6953535408 8691919260 10430303112 11589225680 13037878890 17383838520 20860606224 26075757780 34767677040 52151515560 104303031120