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104310422304 = 25311421234629
BaseRepresentation
bin110000100100101100…
…0101011101100100000
3100222020120110111001020
41201021120223230200
53202111432003204
6115530342205440
710351623650244
oct1411130535440
9328216414036
10104310422304
1140268572190
1218271423880
139ab483aa9a
1450976dc424
152aa787bbd9
hex184962bb20

104310422304 has 96 divisors (see below), whose sum is σ = 299417912640. Its totient is φ = 31534003200.

The previous prime is 104310422299. The next prime is 104310422309. The reversal of 104310422304 is 403224013401.

104310422304 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104310422299) and next prime (104310422309).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1043104223043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104310422309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327262 + ... + 561890.

It is an arithmetic number, because the mean of its divisors is an integer number (3118936590).

Almost surely, 2104310422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104310422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149708956320).

104310422304 is an abundant number, since it is smaller than the sum of its proper divisors (195107490336).

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

104310422304 is a wasteful number, since it uses less digits than its factorization.

104310422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235074 (or 235066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 104310422304 its reverse (403224013401), we get a palindrome (507534435705).

The spelling of 104310422304 in words is "one hundred four billion, three hundred ten million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 421 528 842 1056 1263 1684 2526 3368 4631 5052 6736 9262 10104 13472 13893 18524 20208 27786 37048 40416 55572 74096 111144 148192 222288 234629 444576 469258 703887 938516 1407774 1877032 2580919 2815548 3754064 5161838 5631096 7508128 7742757 10323676 11262192 15485514 20647352 22524384 30971028 41294704 61942056 82589408 98778809 123884112 197557618 247768224 296336427 395115236 592672854 790230472 1086566899 1185345708 1580460944 2173133798 2370691416 3160921888 3259700697 4346267596 4741382832 6519401394 8692535192 9482765664 13038802788 17385070384 26077605576 34770140768 52155211152 104310422304