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1030004132310 = 232523189493531
BaseRepresentation
bin11101111110100010000…
…01111100100111010110
310122110121202111021022200
432333101001330213112
5113333422024213220
62105102151105330
7134262314445306
oct16772101744726
93573552437280
101030004132310
1136790553165a
12147756372246
137618a47979a
1437bd1249606
151bbd5909890
hexefd107c9d6

1030004132310 has 48 divisors (see below), whose sum is σ = 2678131656720. Its totient is φ = 274655367360.

The previous prime is 1030004132309. The next prime is 1030004132323. The reversal of 1030004132310 is 132314000301.

1030004132310 is a `hidden beast` number, since 1 + 0 + 300 + 0 + 41 + 323 + 1 + 0 = 666.

It is a super-2 number, since 2×10300041323102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1840245 + ... + 2333775.

It is an arithmetic number, because the mean of its divisors is an integer number (55794409515).

Almost surely, 21030004132310 is an apocalyptic number.

1030004132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1030004132310 is an abundant number, since it is smaller than the sum of its proper divisors (1648127524410).

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

1030004132310 is a wasteful number, since it uses less digits than its factorization.

1030004132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516733 (or 516730 counting only the distinct ones).

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

Adding to 1030004132310 its reverse (132314000301), we get a palindrome (1162318132611).

The spelling of 1030004132310 in words is "one trillion, thirty billion, four million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23189 46378 69567 115945 139134 208701 231890 347835 417402 493531 695670 987062 1043505 1480593 2087010 2467655 2961186 4441779 4935310 7402965 8883558 14805930 22208895 44417790 11444490359 22888980718 34333471077 57222451795 68666942154 103000413231 114444903590 171667355385 206000826462 343334710770 515002066155 1030004132310