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22020210102100 = 22527215728623697
BaseRepresentation
bin1010000000110111110101…
…10011010000111101010100
32212222010000022011220202211
411000123322303100331110
510341234342241231400
6114455540031443204
74431623222404300
oct500337263207524
985863008156684
1022020210102100
11701a79a59a741
1225777b7986504
13c3965c9061b2
14561ad8c84d00
15282be2281dba
hex1406facd0f54

22020210102100 has 108 divisors (see below), whose sum is σ = 55939350248796. Its totient is φ = 7501698247680.

The previous prime is 22020210102073. The next prime is 22020210102109. The reversal of 22020210102100 is 120101202022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 71978256 + 22020138123844 = 8484^2 + 4692562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020210102109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13542549 + ... + 15081148.

Almost surely, 222020210102100 is an apocalyptic number.

22020210102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020210102100 is an abundant number, since it is smaller than the sum of its proper divisors (33919140146696).

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

22020210102100 is a wasteful number, since it uses less digits than its factorization.

22020210102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28623882 (or 28623868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22020210102100 its reverse (120101202022), we get a palindrome (22140311304122).

The spelling of 22020210102100 in words is "twenty-two trillion, twenty billion, two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 157 175 196 245 314 350 490 628 700 785 980 1099 1225 1570 2198 2450 3140 3925 4396 4900 5495 7693 7850 10990 15386 15700 21980 27475 30772 38465 54950 76930 109900 153860 192325 384650 769300 28623697 57247394 114494788 143118485 200365879 286236970 400731758 572473940 715592425 801463516 1001829395 1402561153 1431184850 2003658790 2805122306 2862369700 4007317580 4493920429 5009146975 5610244612 7012805765 8987840858 10018293950 14025611530 17975681716 20036587900 22469602145 28051223060 31457443003 35064028825 44939204290 62914886006 70128057650 89878408580 112348010725 125829772012 140256115300 157287215015 220202101021 224696021450 314574430030 440404202042 449392042900 629148860060 786436075075 880808404084 1101010505105 1572872150150 2202021010210 3145744300300 4404042020420 5505052525525 11010105051050 22020210102100