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21122200222112 = 251194763364573
BaseRepresentation
bin1001100110101111001010…
…01111011011100110100000
32202210021002110011101222002
410303113211033123212200
510232031231224101422
6112531223235303132
74310012545356023
oct463274517334640
982707073141862
1021122200222112
116803969409530
12245175a14aaa8
13ba2a795453c2
14530469d051ba
15269684815692
hex1335e53db9a0

21122200222112 has 48 divisors (see below), whose sum is σ = 45412629810912. Its totient is φ = 9590861617920.

The previous prime is 21122200222091. The next prime is 21122200222213.

21122200222112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211222002221122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31348943 + ... + 32015630.

It is an arithmetic number, because the mean of its divisors is an integer number (946096454394).

Almost surely, 221122200222112 is an apocalyptic number.

21122200222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122200222112 is an abundant number, since it is smaller than the sum of its proper divisors (24290429588800).

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

21122200222112 is a wasteful number, since it uses less digits than its factorization.

21122200222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63365541 (or 63365533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 21122200 and 222112, that added together give a palindrome (21344312).

The spelling of 21122200222112 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 947 1894 3788 7576 10417 15152 20834 30304 41668 83336 166672 333344 63364573 126729146 253458292 506916584 697010303 1013833168 1394020606 2027666336 2788041212 5576082424 11152164848 22304329696 60006250631 120012501262 240025002524 480050005048 660068756941 960100010096 1320137513882 1920200020192 2640275027764 5280550055528 10561100111056 21122200222112