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2211211122102 = 23488720397547
BaseRepresentation
bin100000001011010110011…
…101000001010110110110
321211101112002211112210000
4200023112131001112312
5242212030021401402
64411452200212130
7315516605264163
oct40132635012666
97741462745700
102211211122102
11782851039a54
122b866a16a046
1313069345a6b8
14790478bb06a
153c7ba7e5c1c
hex202d67415b6

2211211122102 has 80 divisors (see below), whose sum is σ = 4963427124480. Its totient is φ = 735780819312.

The previous prime is 2211211122101. The next prime is 2211211122103. The reversal of 2211211122102 is 2012211121122.

2211211122102 is a `hidden beast` number, since 221 + 121 + 112 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2211211122101) and next prime (2211211122103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211211122101) 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 39 ways as a sum of consecutive naturals, for example, 292988293 + ... + 292995839.

It is an arithmetic number, because the mean of its divisors is an integer number (62042839056).

Almost surely, 22211211122102 is an apocalyptic number.

2211211122102 is an abundant number, since it is smaller than the sum of its proper divisors (2752216002378).

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

2211211122102 is a wasteful number, since it uses less digits than its factorization.

2211211122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10478 counting only the distinct ones).

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

Adding to 2211211122102 its reverse (2012211121122), we get a palindrome (4223422243224).

The spelling of 2211211122102 in words is "two trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 887 1774 2039 2661 4078 5322 6117 7547 7983 12234 15094 15966 18351 22641 23949 36702 45282 47898 55053 67923 71847 110106 135846 143694 165159 203769 330318 407538 611307 1222614 1808593 3617186 5425779 6694189 10851558 13388378 15388333 16277337 20082567 30776666 32554674 40165134 46164999 48832011 60247701 92329998 97664022 120495402 138494997 146496033 180743103 276989994 292992066 361486206 415484991 542229309 830969982 1084458618 1246454973 2492909946 13649451371 27298902742 40948354113 81896708226 122845062339 245690124678 368535187017 737070374034 1105605561051 2211211122102