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21244211244212 = 22112343961950753
BaseRepresentation
bin1001101010010010011011…
…01010100010110010110100
32210012221000121102112011112
410311021031222202302310
510241031121034303322
6113103242251054152
74321562234060435
oct465111552426264
983187017375145
1021244211244212
11685068a459290
12247132b441358
13bb1422265978
1453632237548c
1526c9261095e2
hex13524daa2cb4

21244211244212 has 96 divisors (see below), whose sum is σ = 43310036689920. Its totient is φ = 9020692961280.

The previous prime is 21244211244173. The next prime is 21244211244229.

21244211244212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212442112442122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418555028 + ... + 418605780.

It is an arithmetic number, because the mean of its divisors is an integer number (451146215520).

Almost surely, 221244211244212 is an apocalyptic number.

21244211244212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21244211244212 is an abundant number, since it is smaller than the sum of its proper divisors (22065825445708).

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

21244211244212 is a wasteful number, since it uses less digits than its factorization.

21244211244212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60453 (or 60451 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 2124421 and 1244212, that added together give a palindrome (3368633).

The spelling of 21244211244212 in words is "twenty-one trillion, two hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 4 11 22 23 43 44 46 86 92 172 253 473 506 946 989 1012 1892 1978 3956 9619 10879 19238 21758 38476 43516 50753 101506 105809 203012 211618 221237 413617 423236 442474 558283 827234 884948 1116566 1167319 1654468 2182379 2233132 2334638 2433607 4364758 4549787 4669276 4867214 8729516 9099574 9513191 9734428 12840509 18199148 19026382 24006169 25681018 38052764 48012338 50194717 51362036 96024676 100389434 104645101 200778868 209290202 418580404 488193107 552141887 976386214 1104283774 1952772428 2208567548 5370124177 10740248354 11228441461 20992303601 21480496708 22456882922 41984607202 44913765844 83969214404 123512856071 230915339611 247025712142 461830679222 482822982823 494051424284 923661358444 965645965646 1931291931292 5311052811053 10622105622106 21244211244212