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1100020330010 = 257223465720959
BaseRepresentation
bin10000000000011110010…
…100100010111000011010
310220011100022022122021002
4100000132110202320122
5121010320201030020
62201201541145002
7142321346346500
oct20003624427032
93804308278232
101100020330010
11394574887258
121592366bb162
137c968075974
143b35407a670
151d932669975
hex1001e522e1a

1100020330010 has 96 divisors (see below), whose sum is σ = 2404082488320. Its totient is φ = 360657335808.

The previous prime is 1100020329973. The next prime is 1100020330049. The reversal of 1100020330010 is 100330200011.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100020329973 and 1100020330000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52473911 + ... + 52494869.

It is an arithmetic number, because the mean of its divisors is an integer number (25042525920).

Almost surely, 21100020330010 is an apocalyptic number.

1100020330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100020330010 is an abundant number, since it is smaller than the sum of its proper divisors (1304062158310).

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

1100020330010 is a wasteful number, since it uses less digits than its factorization.

1100020330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660 (or 25653 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1100020330010 its reverse (100330200011), we get a palindrome (1200350530021).

The spelling of 1100020330010 in words is "one trillion, one hundred billion, twenty million, three hundred thirty thousand, ten".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 805 1127 1610 2254 4657 5635 9314 11270 20959 23285 32599 41918 46570 65198 104795 107111 146713 162995 209590 214222 228193 293426 325990 456386 482057 535555 733565 749777 964114 1026991 1071110 1140965 1467130 1499554 2053982 2281930 2410285 3374399 3748885 4820570 5134955 5248439 6748798 7497770 10269910 10496878 16871995 23620793 26242195 33743990 47241586 52484390 97606063 118103965 195212126 236207930 488030315 683242441 976060630 1366484882 2244939449 3416212205 4489878898 4782697087 6832424410 9565394174 11224697245 15714576143 22449394490 23913485435 31429152286 47826970870 78572880715 110002033001 157145761430 220004066002 550010165005 1100020330010