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21122322322112 = 2611192152373369
BaseRepresentation
bin1001100110101111011001…
…00001001101001011000000
32202210021101221220201200022
410303113230201031023000
510232032004003301422
6112531243320313012
74310015560244504
oct463275441151300
982707357821608
1021122322322112
116803a21325020
122451793012768
13ba2a9892611b
1453047c20a304
152696903d3342
hex1335ec84d2c0

21122322322112 has 112 divisors (see below), whose sum is σ = 48134500022400. Its totient is φ = 9095190312960.

The previous prime is 21122322322109. The next prime is 21122322322177.

21122322322112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287854964 + ... + 287928332.

Almost surely, 221122322322112 is an apocalyptic number.

21122322322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122322322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067250011200).

21122322322112 is an abundant number, since it is smaller than the sum of its proper divisors (27012177700288).

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

21122322322112 is a wasteful number, since it uses less digits than its factorization.

21122322322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94934 (or 94924 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 2112232 and 2322112, that added together give a palindrome (4434344).

The spelling of 21122322322112 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 21523 43046 73369 86092 146738 172184 236753 293476 344368 408937 473506 586952 688736 807059 817874 947012 1173904 1377472 1394011 1614118 1635748 1894024 2347808 2788022 3228236 3271496 3788048 4498307 4695616 5576044 6456472 6542992 7576096 8996614 11152088 12912944 13085984 15152192 15334121 17993228 22304176 25825888 26171968 30668242 35986456 44608352 51651776 61336484 71972912 89216704 122672968 143945824 245345936 287891648 490691872 981383744 1579120987 3158241974 6316483948 12632967896 17370330857 25265935792 30003298753 34740661714 50531871584 60006597506 69481323428 101063743168 120013195012 138962646856 240026390024 277925293712 330036286283 480052780048 555850587424 660072572566 960105560096 1111701174848 1320145145132 1920211120192 2640290290264 5280580580528 10561161161056 21122322322112