Search a number
-
+
1030131312330 = 23564153568971
BaseRepresentation
bin11101111110110001001…
…11000110011011001010
310122110221121210200111210
432333120213012123022
5113334202103443310
62105122533033550
7134265420452451
oct16773047063312
93573847720453
101030131312330
113679702a790a
12147790a858b6
13761aa918833
1437c040b3b98
151bbe1b7c820
hexefd89c66ca

1030131312330 has 32 divisors (see below), whose sum is σ = 2476172161728. Its totient is φ = 274273126400.

The previous prime is 1030131312313. The next prime is 1030131312337. The reversal of 1030131312330 is 332131310301.

It is a super-2 number, since 2×10301313123302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030131312297 and 1030131312306.

It is not an unprimeable number, because it can be changed into a prime (1030131312337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26765256 + ... + 26803715.

It is an arithmetic number, because the mean of its divisors is an integer number (77380380054).

Almost surely, 21030131312330 is an apocalyptic number.

1030131312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1030131312330 is an abundant number, since it is smaller than the sum of its proper divisors (1446040849398).

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

1030131312330 is a wasteful number, since it uses less digits than its factorization.

1030131312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53569622.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1030131312330 its reverse (332131310301), we get a palindrome (1362262622631).

The spelling of 1030131312330 in words is "one trillion, thirty billion, one hundred thirty-one million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 641 1282 1923 3205 3846 6410 9615 19230 53568971 107137942 160706913 267844855 321413826 535689710 803534565 1607069130 34337710411 68675420822 103013131233 171688552055 206026262466 343377104110 515065656165 1030131312330