Search a number
-
+
1030002400332 = 2232201471420121
BaseRepresentation
bin11101111110100001110…
…11010101110001001100
310122110121122020021111100
432333100323111301030
5113333421103302312
62105102050023100
7134262263642643
oct16772073256114
93573548207440
101030002400332
11367904559374
12147755877a90
1376189cc1349
1437bd0d1835a
151bbd56b65dc
hexefd0ed5c4c

1030002400332 has 36 divisors (see below), whose sum is σ = 2603748243096. Its totient is φ = 343316850240.

The previous prime is 1030002400291. The next prime is 1030002400363. The reversal of 1030002400332 is 2330042000301.

1030002400332 is a `hidden beast` number, since 10 + 300 + 0 + 24 + 0 + 0 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 15232 + ... + 1435352.

It is an arithmetic number, because the mean of its divisors is an integer number (72326340086).

Almost surely, 21030002400332 is an apocalyptic number.

1030002400332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030002400332 is an abundant number, since it is smaller than the sum of its proper divisors (1573745842764).

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

1030002400332 is a wasteful number, since it uses less digits than its factorization.

1030002400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440278 (or 1440273 counting only the distinct ones).

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

Adding to 1030002400332 its reverse (2330042000301), we get a palindrome (3360044400633).

The spelling of 1030002400332 in words is "one trillion, thirty billion, two million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 20147 40294 60441 80588 120882 181323 241764 362646 725292 1420121 2840242 4260363 5680484 8520726 12781089 17041452 25562178 51124356 28611177787 57222355574 85833533361 114444711148 171667066722 257500600083 343334133444 515001200166 1030002400332