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21122102020020 = 22352322739673111
BaseRepresentation
bin1001100110101110111110…
…11000110100011110110100
32202210020211121101020000120
410303113133120310132310
510232031031104120040
6112531205410411540
74310010243562401
oct463273730643664
982706747336016
1021122102020020
116803918a35881
122451731290bb0
13ba2a620b1061
1453045ac612a8
1526967adb87d0
hex1335df6347b4

21122102020020 has 96 divisors (see below), whose sum is σ = 61716077660160. Its totient is φ = 5387421663360.

The previous prime is 21122102020013. The next prime is 21122102020093. The reversal of 21122102020020 is 2002020122112.

It is a super-2 number, since 2×211221020200202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 31043265 + ... + 31716375.

It is an arithmetic number, because the mean of its divisors is an integer number (642875808960).

Almost surely, 221122102020020 is an apocalyptic number.

21122102020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122102020020 is an abundant number, since it is smaller than the sum of its proper divisors (40593975640140).

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

21122102020020 is a wasteful number, since it uses less digits than its factorization.

21122102020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695885 (or 695883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21122102020020 its reverse (2002020122112), we get a palindrome (23124122142132).

The spelling of 21122102020020 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 22739 45478 68217 90956 113695 136434 227390 272868 341085 454780 522997 673111 682170 1045994 1346222 1364340 1568991 2019333 2091988 2614985 2692444 3137982 3365555 4038666 5229970 6275964 6731110 7844955 8077332 10096665 10459940 13462220 15481553 15689910 20193330 30963106 31379820 40386660 46444659 61926212 77407765 92889318 154815530 185778636 232223295 309631060 464446590 928893180 15305871029 30611742058 45917613087 61223484116 76529355145 91835226174 153058710290 183670452348 229588065435 306117420580 352035033667 459176130870 704070067334 918352261740 1056105101001 1408140134668 1760175168335 2112210202002 3520350336670 4224420404004 5280525505005 7040700673340 10561051010010 21122102020020