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1102112032212 = 2233231733256021
BaseRepresentation
bin10000000010011010111…
…111110000010111010100
310220100202002020010021000
4100002122333300113110
5121024111140012322
62202145301423300
7142424235463602
oct20023277602724
93810662203230
101102112032212
11395448568064
1215971b10ab30
137cc0c519989
143b4b1ba6872
151da060e33ac
hex1009aff05d4

1102112032212 has 96 divisors (see below), whose sum is σ = 2983291234560. Its totient is φ = 351193898880.

The previous prime is 1102112032181. The next prime is 1102112032253. The reversal of 1102112032212 is 2122302112011.

1102112032212 is a `hidden beast` number, since 110 + 211 + 20 + 322 + 1 + 2 = 666.

It is a super-2 number, since 2×11021120322122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 4176762 + ... + 4432782.

It is an arithmetic number, because the mean of its divisors is an integer number (31075950360).

Almost surely, 21102112032212 is an apocalyptic number.

1102112032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102112032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491645617280).

1102112032212 is an abundant number, since it is smaller than the sum of its proper divisors (1881179202348).

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

1102112032212 is a wasteful number, since it uses less digits than its factorization.

1102112032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257790 (or 257782 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102112032212 its reverse (2122302112011), we get a palindrome (3224414144223).

The spelling of 1102112032212 in words is "one trillion, one hundred two billion, one hundred twelve million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1733 2484 3466 5199 6932 10398 15597 20796 31194 39859 46791 62388 79718 93582 119577 159436 187164 239154 256021 358731 478308 512042 717462 768063 1024084 1076193 1434924 1536126 2152386 2304189 3072252 4304772 4608378 5888483 6912567 9216756 11776966 13825134 17665449 23553932 27650268 35330898 52996347 70661796 105992694 158989041 211985388 317978082 443684393 635956164 887368786 1331053179 1774737572 2662106358 3993159537 5324212716 7986319074 10204741039 11979478611 15972638148 20409482078 23958957222 30614223117 40818964156 47917914444 61228446234 91842669351 122456892468 183685338702 275528008053 367370677404 551056016106 1102112032212