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2211211101012 = 22317167277234317
BaseRepresentation
bin100000001011010110011…
…100111100001101010100
321211101112002210110211220
4200023112130330031110
5242212030020213022
64411452155530340
7315516605145534
oct40132634741524
97741462713756
102211211101012
11782851025121
122b866a1599b0
13130693450c14
14790478b34c4
153c7ba7de85c
hex202d673c354

2211211101012 has 96 divisors (see below), whose sum is σ = 5515568287488. Its totient is φ = 687066998784.

The previous prime is 2211211100981. The next prime is 2211211101017. The reversal of 2211211101012 is 2101011121122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211211100982 and 2211211101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211211101017) 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, 9319678 + ... + 9553994.

It is an arithmetic number, because the mean of its divisors is an integer number (57453836328).

Almost surely, 22211211101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211211101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757784143744).

2211211101012 is an abundant number, since it is smaller than the sum of its proper divisors (3304357186476).

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

2211211101012 is a wasteful number, since it uses less digits than its factorization.

2211211101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234785 (or 234783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211211101012 its reverse (2101011121122), we get a palindrome (4312222222134).

The spelling of 2211211101012 in words is "two trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 277 334 501 554 668 831 1002 1108 1662 2004 2839 3324 4709 5678 8517 9418 11356 14127 17034 18836 28254 34068 46259 56508 92518 138777 185036 234317 277554 468634 555108 702951 786403 937268 1405902 1572806 2359209 2811804 3145612 3983389 4718418 7966778 9436836 11950167 15933556 23900334 39130939 47800668 64905809 78261878 117392817 129811618 156523756 194717427 234785634 259623236 389434854 469571268 665225963 778869708 1103398753 1330451926 1995677889 2206797506 2660903852 3310196259 3991355778 4413595012 6620392518 7982711556 10839270103 13240785036 21678540206 32517810309 43357080412 65035620618 130071241236 184267591751 368535183502 552802775253 737070367004 1105605550506 2211211101012