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1030302320004 = 2232709262115401
BaseRepresentation
bin11101111111000101100…
…11011100010110000100
310122111101112120202221100
432333202303130112010
5113340024343220004
62105151522220100
7134302565136216
oct16774263342604
93574345522840
101030302320004
11367a48888471
1214781a1b4630
13762071916c9
1437c1caaa5b6
151bc01bab739
hexefe2cdc584

1030302320004 has 72 divisors (see below), whose sum is σ = 2609213082840. Its totient is φ = 342796608000.

The previous prime is 1030302319961. The next prime is 1030302320009. The reversal of 1030302320004 is 4000232030301.

1030302320004 is a `hidden beast` number, since 10 + 30 + 302 + 320 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443396174400 + 586906145604 = 665880^2 + 766098^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1030302320009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66890704 + ... + 66906104.

It is an arithmetic number, because the mean of its divisors is an integer number (36239070595).

Almost surely, 21030302320004 is an apocalyptic number.

It is an amenable number.

1030302320004 is an abundant number, since it is smaller than the sum of its proper divisors (1578910762836).

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

1030302320004 is a wasteful number, since it uses less digits than its factorization.

1030302320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18741 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1030302320004 its reverse (4000232030301), we get a palindrome (5030534350305).

The spelling of 1030302320004 in words is "one trillion, thirty billion, three hundred two million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 709 1418 2127 2621 2836 4254 5242 6381 7863 8508 10484 12762 15401 15726 23589 25524 30802 31452 46203 47178 61604 92406 94356 138609 184812 277218 554436 1858289 3716578 5574867 7433156 10919309 11149734 16724601 21838618 22299468 32757927 33449202 40366021 43677236 65515854 66898404 80732042 98273781 121098063 131031708 161464084 196547562 242196126 363294189 393095124 484392252 726588378 1453176756 28619508889 57239017778 85858526667 114478035556 171717053334 257575580001 343434106668 515151160002 1030302320004