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812211112218 = 231147661396119
BaseRepresentation
bin10111101000110111000…
…11100000100100011010
32212122110101111111212010
423310123203200210122
5101301402021042333
61421042530530350
7112452230354202
oct13643343404432
92778411444763
10812211112218
11293502aa9080
121114b3a369b6
135b78ba8936c
142b450019402
15161da364563
hexbd1b8e091a

812211112218 has 64 divisors (see below), whose sum is σ = 1812543713280. Its totient is φ = 240522849600.

The previous prime is 812211112211. The next prime is 812211112241.

812211112218 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (812211112211) 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 31 ways as a sum of consecutive naturals, for example, 1852363 + ... + 2248481.

It is an arithmetic number, because the mean of its divisors is an integer number (28320995520).

Almost surely, 2812211112218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812211112218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906271856640).

812211112218 is an abundant number, since it is smaller than the sum of its proper divisors (1000332601062).

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

812211112218 is a wasteful number, since it uses less digits than its factorization.

812211112218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396843.

The product of its digits is 1024, while the sum is 30.

It can be divided in two parts, 812211 and 112218, that added together give a palindrome (924429).

The spelling of 812211112218 in words is "eight hundred twelve billion, two hundred eleven million, one hundred twelve thousand, two hundred eighteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 661 1034 1322 1551 1983 3102 3966 7271 14542 21813 31067 43626 62134 93201 186402 341737 396119 683474 792238 1025211 1188357 2050422 2376714 4357309 8714618 13071927 18617593 26143854 37235186 55852779 111705558 204793523 261834659 409587046 523669318 614380569 785503977 1228761138 1571007954 2880181249 5760362498 8640543747 12306228973 17281087494 24612457946 36918686919 73837373838 135368518703 270737037406 406105556109 812211112218