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21002111011020 = 22356110935250029
BaseRepresentation
bin1001100011001111011110…
…10111011100100011001100
32202100210010020010101212010
410301213233113130203030
510223044310404323040
6112400123034541220
74265231614044666
oct461475727344314
982323106111763
1021002111011020
116767a44161837
122432424597810
13b9464ba24209
14528716bb9536
152664a6adbe80
hex1319ef5dc8cc

21002111011020 has 96 divisors (see below), whose sum is σ = 59824637853120. Its totient is φ = 5503709352960.

The previous prime is 21002111010997. The next prime is 21002111011043. The reversal of 21002111011020 is 2011011120012.

It is an interprime number because it is at equal distance from previous prime (21002111010997) and next prime (21002111011043).

It is a super-2 number, since 2×210021110110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21002111010987 and 21002111011005.

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, 1375366 + ... + 6625394.

It is an arithmetic number, because the mean of its divisors is an integer number (623173310970).

Almost surely, 221002111011020 is an apocalyptic number.

21002111011020 is a gapful number since it is divisible by the number (20) 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 21002111011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29912318926560).

21002111011020 is an abundant number, since it is smaller than the sum of its proper divisors (38822526842100).

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

21002111011020 is a wasteful number, since it uses less digits than its factorization.

21002111011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251195 (or 5251193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21002111011020 its reverse (2011011120012), we get a palindrome (23013122131032).

The spelling of 21002111011020 in words is "twenty-one trillion, two billion, one hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1093 1220 1830 2186 3279 3660 4372 5465 6558 10930 13116 16395 21860 32790 65580 66673 133346 200019 266692 333365 400038 666730 800076 1000095 1333460 2000190 4000380 5250029 10500058 15750087 21000116 26250145 31500174 52500290 63000348 78750435 105000580 157500870 315001740 320251769 640503538 960755307 1281007076 1601258845 1921510614 3202517690 3843021228 4803776535 5738281697 6405035380 9607553070 11476563394 17214845091 19215106140 22953126788 28691408485 34429690182 57382816970 68859380364 86074225455 114765633940 172148450910 344296901820 350035183517 700070367034 1050105550551 1400140734068 1750175917585 2100211101102 3500351835170 4200422202204 5250527752755 7000703670340 10501055505510 21002111011020