Search a number
-
+
1330203021210 = 2325710871942441
BaseRepresentation
bin10011010110110110010…
…001110100111110011010
311201011111010122220100100
4103112312101310332122
5133243223433134320
62455030431120230
7165050446056660
oct23266621647632
94634433586310
101330203021210
11473154a22048
12195976373076
139858c563a1b
144854c960c30
15249057a3790
hex135b6474f9a

1330203021210 has 96 divisors (see below), whose sum is σ = 3956241549312. Its totient is φ = 303766536960.

The previous prime is 1330203021167. The next prime is 1330203021211. The reversal of 1330203021210 is 121203020331.

1330203021210 is a `hidden beast` number, since 1 + 330 + 20 + 302 + 1 + 2 + 10 = 666.

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 (1330203021211) 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 47 ways as a sum of consecutive naturals, for example, 286411 + ... + 1656030.

It is an arithmetic number, because the mean of its divisors is an integer number (41210849472).

Almost surely, 21330203021210 is an apocalyptic number.

1330203021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330203021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978120774656).

1330203021210 is an abundant number, since it is smaller than the sum of its proper divisors (2626038528102).

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

1330203021210 is a wasteful number, since it uses less digits than its factorization.

1330203021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943548 (or 1943545 counting only the distinct ones).

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

Adding to 1330203021210 its reverse (121203020331), we get a palindrome (1451406041541).

The spelling of 1330203021210 in words is "one trillion, three hundred thirty billion, two hundred three million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1087 2174 3261 5435 6522 7609 9783 10870 15218 16305 19566 22827 32610 38045 45654 48915 68481 76090 97830 114135 136962 228270 342405 684810 1942441 3884882 5827323 9712205 11654646 13597087 17481969 19424410 27194174 29136615 34963938 40791261 58273230 67985435 81582522 87409845 122373783 135970870 174819690 203956305 244747566 407912610 611868915 1223737830 2111433367 4222866734 6334300101 10557166835 12668600202 14780033569 19002900303 21114333670 29560067138 31671500505 38005800606 44340100707 63343001010 73900167845 88680201414 95014501515 133020302121 147800335690 190029003030 221700503535 266040604242 443401007070 665101510605 1330203021210