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21202233220212 = 22311379091477523
BaseRepresentation
bin1001101001000100001111…
…00101000101110001110100
32210001220200002100221211220
410310202013211011301310
510234334133201021322
6113032101012230340
74315545050544012
oct464420745056164
983056602327756
1021202233220212
1168348a8a03570
12246517500b3b0
13baa492461a05
1453429d1cd8b2
1526b7bab5155c
hex134887945c74

21202233220212 has 96 divisors (see below), whose sum is σ = 55434164319744. Its totient is φ = 6250571971200.

The previous prime is 21202233220199. The next prime is 21202233220277.

21202233220212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212022332202122 (a number of 27 digits) contains 22 as substring.

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, 44161683 + ... + 44639205.

It is an arithmetic number, because the mean of its divisors is an integer number (577439211664).

Almost surely, 221202233220212 is an apocalyptic number.

21202233220212 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 21202233220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27717082159872).

21202233220212 is an abundant number, since it is smaller than the sum of its proper divisors (34231931099532).

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

21202233220212 is a wasteful number, since it uses less digits than its factorization.

21202233220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486669 (or 486667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2120223 and 3220212, that added together give a palindrome (5340435).

The spelling of 21202233220212 in words is "twenty-one trillion, two hundred two billion, two hundred thirty-three million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 9091 18182 27273 36364 54546 100001 109092 200002 300003 336367 400004 477523 600006 672734 955046 1009101 1200012 1345468 1432569 1910092 2018202 2865138 3700037 4036404 5252753 5730276 7400074 10505506 11100111 14800148 15758259 17668351 21011012 22200222 31516518 35336702 44400444 53005053 63033036 70673404 106010106 194351861 212020212 388703722 583055583 777407444 1166111166 2332222332 4341161593 8682323186 13023484779 17364646372 26046969558 47752777523 52093939116 95505555046 143258332569 160622978941 191011110092 286516665138 321245957882 481868936823 573033330276 642491915764 963737873646 1766852768351 1927475747292 3533705536702 5300558305053 7067411073404 10601116610106 21202233220212