Search a number
-
+
1200200102020 = 225412175767273
BaseRepresentation
bin10001011101110001100…
…000000011000010000100
311020201221000020100100101
4101131301200003002010
5124131002211231040
62315210405253444
7152466035353603
oct21356140030204
94221830210311
101200200102020
11423002739767
12174734704284
1389241ba957a
1442138d35a3a
152134756509a
hex11771803084

1200200102020 has 48 divisors (see below), whose sum is σ = 2582050928688. Its totient is φ = 468342282240.

The previous prime is 1200200101987. The next prime is 1200200102021. The reversal of 1200200102020 is 202010020021.

It can be written as a sum of positive squares in 8 ways, for example, as 117118635076 + 1083081466944 = 342226^2 + 1040712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1200200101988 and 1200200102006.

It is not an unprimeable number, because it can be changed into a prime (1200200102021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17807104 + ... + 17874376.

It is an arithmetic number, because the mean of its divisors is an integer number (53792727681).

Almost surely, 21200200102020 is an apocalyptic number.

1200200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200200102020 is an abundant number, since it is smaller than the sum of its proper divisors (1381850826668).

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

1200200102020 is a wasteful number, since it uses less digits than its factorization.

1200200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89080 (or 89078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1200200102020 its reverse (202010020021), we get a palindrome (1402210122041).

The spelling of 1200200102020 in words is "one trillion, two hundred billion, two hundred million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 21757 43514 67273 87028 108785 134546 217570 269092 336365 435140 672730 892037 1345460 1784074 2758193 3568148 4460185 5516386 8920370 11032772 13790965 17840740 27581930 55163860 1463658661 2927317322 5854634644 7318293305 14636586610 29273173220 60010005101 120020010202 240040020404 300050025505 600100051010 1200200102020