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2102020222212 = 223287776738677
BaseRepresentation
bin11110100101101010001…
…010110010110100000100
321102221200101220010002200
4132211222022302310010
5233414414134102322
64245353232234500
7304603010041161
oct36455212626404
97387611803080
102102020222212
11740509685819
1229b47639ba30
131232b177b771
1473a49d51068
1539a297718ac
hex1e96a2b2d04

2102020222212 has 72 divisors (see below), whose sum is σ = 5320805072856. Its totient is φ = 699702603264.

The previous prime is 2102020222163. The next prime is 2102020222213. The reversal of 2102020222212 is 2122220202012.

2102020222212 is a `hidden beast` number, since 210 + 2 + 0 + 20 + 222 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 527938840836 + 1574081381376 = 726594^2 + 1254624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2102020222213) 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 23 ways as a sum of consecutive naturals, for example, 242247618 + ... + 242256294.

Almost surely, 22102020222212 is an apocalyptic number.

It is an amenable number.

2102020222212 is an abundant number, since it is smaller than the sum of its proper divisors (3218784850644).

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

2102020222212 is a wasteful number, since it uses less digits than its factorization.

2102020222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17237 (or 17232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102020222212 its reverse (2122220202012), we get a palindrome (4224240424224).

It can be divided in two parts, 2102020 and 222212, that added together give a palindrome (2324232).

The spelling of 2102020222212 in words is "two trillion, one hundred two billion, twenty million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 877 1754 2631 3508 5262 7673 7893 8677 10524 15346 15786 17354 23019 26031 30692 31572 34708 46038 52062 69057 78093 92076 104124 138114 156186 276228 312372 6729221 7609729 13458442 15219458 20187663 22829187 26916884 30438916 40375326 45658374 60562989 66578621 68487561 80750652 91316748 121125978 133157242 136975122 199735863 242251956 266314484 273950244 399471726 599207589 798943452 1198415178 2396830356 58389450617 116778901234 175168351851 233557802468 350336703702 525505055553 700673407404 1051010111106 2102020222212