Search a number
-
+
221211012212010 = 232537157423119321
BaseRepresentation
bin110010010011000010110011…
…110011011010010100101010
31002000020120021210020000011200
4302103002303303122110222
5212443310123111241020
62102250534110105030
764410653046320022
oct6223026363322452
91060216253200150
10221211012212010
1164537077486337
12209882144ab176
13965815546c5a2
143c8a954b38a82
151a893157b3590
hexc930b3cda52a

221211012212010 has 96 divisors (see below), whose sum is σ = 594455567773392. Its totient is φ = 57029714426880.

The previous prime is 221211012211927. The next prime is 221211012212027. The reversal of 221211012212010 is 10212210112122.

221211012212010 is a `hidden beast` number, since 22 + 121 + 101 + 221 + 201 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163617074281521 + 57593937930489 = 12791289^2 + 7589067^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 211036851 + ... + 212082470.

Almost surely, 2221211012212010 is an apocalyptic number.

221211012212010 is an abundant number, since it is smaller than the sum of its proper divisors (373244555561382).

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

221211012212010 is a wasteful number, since it uses less digits than its factorization.

221211012212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423119528 (or 423119525 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221211012212010 its reverse (10212210112122), we get a palindrome (231423222324132).

The spelling of 221211012212010 in words is "two hundred twenty-one trillion, two hundred eleven billion, twelve million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 157 185 222 314 333 370 471 555 666 785 942 1110 1413 1570 1665 2355 2826 3330 4710 5809 7065 11618 14130 17427 29045 34854 52281 58090 87135 104562 174270 261405 522810 423119321 846238642 1269357963 2115596605 2538715926 3808073889 4231193210 6346789815 7616147778 12693579630 15655414877 19040369445 31310829754 38080738890 46966244631 66429733397 78277074385 93932489262 132859466794 140898733893 156554148770 199289200191 234831223155 281797467786 332148666985 398578400382 469662446310 597867600573 664297333970 704493669465 996446000955 1195735201146 1408987338930 1992892001910 2457900135689 2989338002865 4915800271378 5978676005730 7373700407067 12289500678445 14747400814134 22121101221201 24579001356890 36868502035335 44242202442402 73737004070670 110605506106005 221211012212010