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2122210103132 = 2272233413137933
BaseRepresentation
bin11110111000011101100…
…101000100111101011100
321111212210110201100000002
4132320131211010331130
5234232241241300012
64302532503353432
7306216226145600
oct36703545047534
97455713640002
102122210103132
1174902a306119
122a336ba52878
1312517b5a9872
1474a03543500
153a30bee87c2
hex1ee1d944f5c

2122210103132 has 72 divisors (see below), whose sum is σ = 4509402329376. Its totient is φ = 869713122432.

The previous prime is 2122210103131. The next prime is 2122210103149. The reversal of 2122210103132 is 2313010122212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122210103131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15316838 + ... + 15454770.

It is an arithmetic number, because the mean of its divisors is an integer number (62630587908).

Almost surely, 22122210103132 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 2122210103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254701164688).

2122210103132 is an abundant number, since it is smaller than the sum of its proper divisors (2387192226244).

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

2122210103132 is a wasteful number, since it uses less digits than its factorization.

2122210103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141387 (or 141378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122210103132 its reverse (2313010122212), we get a palindrome (4435220225344).

The spelling of 2122210103132 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 3413 4508 6826 13652 23891 47782 78499 95564 137933 156998 167237 275866 313996 334474 549493 551732 668948 965531 1098986 1931062 2197972 3172459 3846451 3862124 6344918 6758717 7692902 12689836 13517434 15385804 22207213 27034868 44414426 88828852 155450491 310900982 470765329 621801964 941530658 1883061316 3295357303 6590714606 10827602567 13181429212 21655205134 23067501121 43310410268 46135002242 75793217969 92270004484 151586435938 303172871876 530552525783 1061105051566 2122210103132