Search a number
-
+
1002200002300 = 2252710114175389
BaseRepresentation
bin11101001010101111100…
…01100110111011111100
310112210212001010010021201
432211113301212323330
5112410001200033200
62044223200105244
7132256310314630
oct16452761467374
93483761103251
101002200002300
11357037857212
12142296905224
1373678ccb253
14367146c4dc0
151b109983c6a
hexe957c66efc

1002200002300 has 72 divisors (see below), whose sum is σ = 2510064658080. Its totient is φ = 340209312000.

The previous prime is 1002200002273. The next prime is 1002200002333. The reversal of 1002200002300 is 32000022001.

It is a super-2 number, since 2×10022000023002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7016995 + ... + 7158394.

It is an arithmetic number, because the mean of its divisors is an integer number (34862009140).

Almost surely, 21002200002300 is an apocalyptic number.

1002200002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200002300 is an abundant number, since it is smaller than the sum of its proper divisors (1507864655780).

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

1002200002300 is a wasteful number, since it uses less digits than its factorization.

1002200002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175511 (or 14175504 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1002200002300 its reverse (32000022001), we get a palindrome (1034200024301).

The spelling of 1002200002300 in words is "one trillion, two billion, two hundred million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 14175389 28350778 56701556 70876945 99227723 141753890 198455446 283507780 354384725 396910892 496138615 708769450 992277230 1417538900 1431714289 1984554460 2480693075 2863428578 4961386150 5726857156 7158571445 9922772300 10022000023 14317142890 20044000046 28634285780 35792857225 40088000092 50110000115 71585714450 100220000230 143171428900 200440000460 250550000575 501100001150 1002200002300