Search a number
-
+
212210021201000 = 23531109191352589
BaseRepresentation
bin110000010000000011111110…
…111011100111010001101000
31000211101002011020122121021212
4300100003332323213101220
5210303322110411413000
62031155534330452252
762461445103146504
oct6020037673472150
91024332136577255
10212210021201000
1161686845733a49
121b973882894088
13915441c19c064
143a5903c5a5304
15198010a0cdc35
hexc100feee7468

212210021201000 has 64 divisors (see below), whose sum is σ = 497019217266000. Its totient is φ = 84807467001600.

The previous prime is 212210021200993. The next prime is 212210021201011. The reversal of 212210021201000 is 102120012212.

It can be written as a sum of positive squares in 8 ways, for example, as 16448004916996 + 195762016284004 = 4055614^2 + 13991498^2 .

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 15 ways as a sum of consecutive naturals, for example, 94567295 + ... + 96785294.

Almost surely, 2212210021201000 is an apocalyptic number.

212210021201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210021201000 is an abundant number, since it is smaller than the sum of its proper divisors (284809196065000).

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

212210021201000 is a wasteful number, since it uses less digits than its factorization.

212210021201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191353719 (or 191353705 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210021201000 its reverse (102120012212), we get a palindrome (212312141213212).

The spelling of 212210021201000 in words is "two hundred twelve trillion, two hundred ten billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1109 2218 4436 5545 8872 11090 22180 27725 44360 55450 110900 138625 221800 277250 554500 1109000 191352589 382705178 765410356 956762945 1530820712 1913525890 3827051780 4783814725 7654103560 9567629450 19135258900 23919073625 38270517800 47838147250 95676294500 191352589000 212210021201 424420042402 848840084804 1061050106005 1697680169608 2122100212010 4244200424020 5305250530025 8488400848040 10610501060050 21221002120100 26526252650125 42442004240200 53052505300250 106105010600500 212210021201000