Search a number
-
+
212111310221100 = 223252593994563281
BaseRepresentation
bin110000001110101000000011…
…010011000110111100101100
31000211000122100220112021012100
4300032220003103012330230
5210300212430404033400
62031042331331535100
762451352000521213
oct6016500323067454
91024018326467170
10212111310221100
11616489a0986814
121b95871475a490
13914801a751a04
143a5435680807a
15197c77e116100
hexc0ea034c6f2c

212111310221100 has 108 divisors (see below), whose sum is σ = 676119781111320. Its totient is φ = 55604320857600.

The previous prime is 212111310221099. The next prime is 212111310221149. The reversal of 212111310221100 is 1122013111212.

It is a happy number.

212111310221100 is a `hidden beast` number, since 2 + 1 + 21 + 11 + 310 + 221 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1997228541 + ... + 1997334740.

Almost surely, 2212111310221100 is an apocalyptic number.

212111310221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111310221100 is an abundant number, since it is smaller than the sum of its proper divisors (464008470890220).

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

212111310221100 is a wasteful number, since it uses less digits than its factorization.

212111310221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994563360 (or 3994563350 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 212111310221100 its reverse (1122013111212), we get a palindrome (213233323332312).

The spelling of 212111310221100 in words is "two hundred twelve trillion, one hundred eleven billion, three hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1475 1770 2124 2655 2950 3540 4425 5310 5900 8850 10620 13275 17700 26550 53100 3994563281 7989126562 11983689843 15978253124 19972816405 23967379686 35951069529 39945632810 47934759372 59918449215 71902139058 79891265620 99864082025 119836898430 143804278116 179755347645 199728164050 235679233579 239673796860 299592246075 359510695290 399456328100 471358467158 599184492150 707037700737 719021390580 898776738225 942716934316 1178396167895 1198368984300 1414075401474 1797553476450 2121113102211 2356792335790 2828150802948 3535188503685 3595106952900 4242226204422 4713584671580 5891980839475 7070377007370 8484452408844 10605565511055 11783961678950 14140754014740 17675942518425 21211131022110 23567923357900 35351885036850 42422262044220 53027827555275 70703770073700 106055655110550 212111310221100