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20021002201110 = 23517231801947707
BaseRepresentation
bin1001000110101100000001…
…01110010110100000010110
32121212222201001210212101010
410203112000232112200112
510111011003030413420
6110325304344113050
74134320045544621
oct443260056264026
977788631725333
1020021002201110
11641994a883639
1222b4255165786
13b22c844b9681
144d30436a4db8
1524abd3aba4e0
hex123580b96816

20021002201110 has 128 divisors (see below), whose sum is σ = 53118472356864. Its totient is φ = 4803732172800.

The previous prime is 20021002201103. The next prime is 20021002201117. The reversal of 20021002201110 is 1110220012002.

It is an interprime number because it is at equal distance from previous prime (20021002201103) and next prime (20021002201117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021002201117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20651877 + ... + 21599583.

It is an arithmetic number, because the mean of its divisors is an integer number (414988065288).

Almost surely, 220021002201110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021002201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26559236178432).

20021002201110 is an abundant number, since it is smaller than the sum of its proper divisors (33097470155754).

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

20021002201110 is a wasteful number, since it uses less digits than its factorization.

20021002201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949558.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021002201110 its reverse (1110220012002), we get a palindrome (21131222213112).

The spelling of 20021002201110 in words is "twenty trillion, twenty-one billion, two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1801 1955 2346 3602 3910 5403 5865 9005 10806 11730 18010 27015 30617 41423 54030 61234 82846 91851 124269 153085 183702 207115 248538 306170 414230 459255 621345 704191 918510 947707 1242690 1408382 1895414 2112573 2843121 3520955 4225146 4738535 5686242 7041910 9477070 10562865 14215605 16111019 21125730 21797261 28431210 32222038 43594522 48333057 65391783 80555095 96666114 108986305 130783566 161110190 217972610 241665285 326958915 370553437 483330570 653917830 741106874 1111660311 1706820307 1852767185 2223320622 3413640614 3705534370 5120460921 5558301555 8534101535 10240921842 11116603110 17068203070 25602304605 29015945219 39256867061 51204609210 58031890438 78513734122 87047835657 117770601183 145079726095 174095671314 196284335305 235541202366 290159452190 392568670610 435239178285 588853005915 667366740037 870478356570 1177706011830 1334733480074 2002100220111 3336833700185 4004200440222 6673667400370 10010501100555 20021002201110