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21111122220112 = 2429109417413837
BaseRepresentation
bin1001100110011010100001…
…11100001101010001010000
32202202012111101221121002201
410303031100330031101100
510231341034242020422
6112522152103252544
74306141201041061
oct463152074152120
982665441847081
1021111122220112
1167aa1a4144681
12244b58814a154
13ba1a02409c32
1452dad892c568
15269236eb9727
hex133350f0d450

21111122220112 has 40 divisors (see below), whose sum is σ = 42701435627400. Its totient is φ = 10098075520512.

The previous prime is 21111122220103. The next prime is 21111122220137. The reversal of 21111122220112 is 21102222111112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9734424960016 + 11376697260096 = 3120004^2 + 3372936^2 .

It is a super-3 number, since 3×211111222201123 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21111122220112.

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 7 ways as a sum of consecutive naturals, for example, 208656343 + ... + 208757494.

It is an arithmetic number, because the mean of its divisors is an integer number (1067535890685).

Almost surely, 221111122220112 is an apocalyptic number.

It is an amenable number.

21111122220112 is an abundant number, since it is smaller than the sum of its proper divisors (21590313407288).

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

21111122220112 is a wasteful number, since it uses less digits than its factorization.

21111122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417413983 (or 417413977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21111122220112 its reverse (21102222111112), we get a palindrome (42213344331224).

The spelling of 21111122220112 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 109 116 218 232 436 464 872 1744 3161 6322 12644 25288 50576 417413837 834827674 1669655348 3339310696 6678621392 12105001273 24210002546 45498108233 48420005092 90996216466 96840010184 181992432932 193680020368 363984865864 727969731728 1319445138757 2638890277514 5277780555028 10555561110056 21111122220112