Search a number
-
+
1002022301300 = 225266531506121
BaseRepresentation
bin11101001010011010010…
…11101110111001110100
310112210101122201222100012
432211031023232321310
5112404120202120200
62044153411235352
7132252022013126
oct16451513567164
93483348658305
101002022301300
11356a56514889
121422472a8b58
137364b250927
14366d8c69216
151b0e9081a35
hexe94d2eee74

1002022301300 has 36 divisors (see below), whose sum is σ = 2174716665996. Its totient is φ = 400748409600.

The previous prime is 1002022301297. The next prime is 1002022301317. The reversal of 1002022301300 is 31032202001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 477655147876 + 524367153424 = 691126^2 + 724132^2 .

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 11 ways as a sum of consecutive naturals, for example, 87761 + ... + 1418360.

Almost surely, 21002022301300 is an apocalyptic number.

1002022301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002022301300 is an abundant number, since it is smaller than the sum of its proper divisors (1172694364696).

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

1002022301300 is a wasteful number, since it uses less digits than its factorization.

1002022301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512788 (or 1512781 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1002022301300 its reverse (31032202001), we get a palindrome (1033054503301).

The spelling of 1002022301300 in words is "one trillion, two billion, twenty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6653 13306 26612 33265 66530 133060 166325 332650 665300 1506121 3012242 6024484 7530605 15061210 30122420 37653025 75306050 150612100 10020223013 20040446026 40080892052 50101115065 100202230130 200404460260 250505575325 501011150650 1002022301300