Search a number
-
+
202013202312 = 23342273137153
BaseRepresentation
bin1011110000100011101…
…1001101011110001000
3201022102122110221220000
42330020323031132020
511302210334433222
6232445324003000
720411034613335
oct2741073153610
9638378427800
10202013202312
1178745205969
1233199990460
131608543984c
149ac561598c
1553c50939ac
hex2f08ecd788

202013202312 has 80 divisors (see below), whose sum is σ = 566077075740. Its totient is φ = 67307618304.

The previous prime is 202013202311. The next prime is 202013202359. The reversal of 202013202312 is 213202310202.

202013202312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183264472836 + 18748729476 = 428094^2 + 136926^2 .

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 (202013202311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1404328 + ... + 1541480.

Almost surely, 2202013202312 is an apocalyptic number.

It is an amenable number.

202013202312 is an abundant number, since it is smaller than the sum of its proper divisors (364063873428).

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

202013202312 is a wasteful number, since it uses less digits than its factorization.

202013202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139444 (or 139431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202013202312 its reverse (213202310202), we get a palindrome (415215512514).

The spelling of 202013202312 in words is "two hundred two billion, thirteen million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2273 4546 6819 9092 13638 18184 20457 27276 40914 54552 61371 81828 122742 137153 163656 184113 245484 274306 368226 411459 490968 548612 736452 822918 1097224 1234377 1472904 1645836 2468754 3291672 3703131 4937508 7406262 9875016 11109393 14812524 22218786 29625048 44437572 88875144 311748769 623497538 935246307 1246995076 1870492614 2493990152 2805738921 3740985228 5611477842 7481970456 8417216763 11222955684 16834433526 22445911368 25251650289 33668867052 50503300578 67337734104 101006601156 202013202312