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21202422420212 = 221121759353123727
BaseRepresentation
bin1001101001000100100101…
…10110110101001011110100
32210001221011021101022110022
410310202102312311023310
510234340030114421322
6113032131451344312
74315552535660345
oct464422266651364
983057137338408
1021202422420212
11683499578a300
122465208452098
13baa4c2707287
145342ba3a00cc
1526b7cc575942
hex134892db52f4

21202422420212 has 144 divisors (see below), whose sum is σ = 44039734421760. Its totient is φ = 8891484856320.

The previous prime is 21202422420211. The next prime is 21202422420251.

21202422420212 is nontrivially palindromic in base 10.

21202422420212 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212024224202122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202422420211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171302693 + ... + 171426419.

It is an arithmetic number, because the mean of its divisors is an integer number (305831489040).

Almost surely, 221202422420212 is an apocalyptic number.

21202422420212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21202422420212 is an abundant number, since it is smaller than the sum of its proper divisors (22837312001548).

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

21202422420212 is a wasteful number, since it uses less digits than its factorization.

21202422420212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124182 (or 124169 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 2120242 and 2420212, that added together give a palindrome (4540454).

The spelling of 21202422420212 in words is "twenty-one trillion, two hundred two billion, four hundred twenty-two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 59 68 118 121 187 236 242 353 374 484 649 706 748 1003 1298 1412 2006 2057 2596 3883 4012 4114 6001 7139 7766 8228 11033 12002 14278 15532 20827 22066 24004 28556 41654 42713 44132 66011 83308 85426 121363 123727 132022 170852 229097 242726 247454 264044 354059 458194 485452 494908 708118 726121 916388 1360997 1416236 1452242 2103359 2520067 2721994 2904484 3894649 4206718 5040134 5443988 7299893 7789298 8413436 10080268 14599786 14970967 15578596 23136949 29199572 29941934 42841139 43675631 46273898 59883868 80298823 85682278 87351262 92547796 124098181 160597646 171364556 174702524 248196362 254506439 321195292 480431941 496392724 509012878 742485727 883287053 960863882 1018025756 1365079991 1484971454 1766574106 1921727764 2576862229 2730159982 2969942908 3533148212 5153724458 5284751351 5460319964 8167342997 10307448916 10569502702 15015879901 16334685994 21139005404 28345484519 30031759802 32669371988 43806657893 56690969038 60063519604 87613315786 89840772967 113381938076 175226631572 179681545934 311800329709 359363091868 481873236823 623600659418 963746473646 1247201318836 1927492947292 5300605605053 10601211210106 21202422420212