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210110100020 = 225234710196221
BaseRepresentation
bin1100001110101110001…
…0011011001000110100
3202002022221012222110022
43003223202123020310
511420301141200040
6240305004344312
721115503245162
oct3035342331064
9662287188408
10210110100020
118111a745a67
1234879545098
1316a75a78392
14a252b04232
1556ead2e6b5
hex30eb89b234

210110100020 has 96 divisors (see below), whose sum is σ = 474871735296. Its totient is φ = 77899712000.

The previous prime is 210110099989. The next prime is 210110100029. The reversal of 210110100020 is 20001011012.

It is a junction number, because it is equal to n+sod(n) for n = 210110099980 and 210110100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110100029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135510 + ... + 2231730.

It is an arithmetic number, because the mean of its divisors is an integer number (4946580576).

Almost surely, 2210110100020 is an apocalyptic number.

210110100020 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 210110100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237435867648).

210110100020 is an abundant number, since it is smaller than the sum of its proper divisors (264761635276).

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

210110100020 is a wasteful number, since it uses less digits than its factorization.

210110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96401 (or 96399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210110100020 its reverse (20001011012), we get a palindrome (230111111032).

The spelling of 210110100020 in words is "two hundred ten billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 101 115 188 202 230 235 404 460 470 505 940 1010 1081 2020 2162 2323 4324 4646 4747 5405 9292 9494 10810 11615 18988 21620 23230 23735 46460 47470 94940 96221 109181 192442 218362 384884 436724 481105 545905 962210 1091810 1924420 2183620 2213083 4426166 4522387 8852332 9044774 9718321 11065415 18089548 19436642 22130830 22611935 38873284 44261660 45223870 48591605 90447740 97183210 104014901 194366420 208029802 223521383 416059604 447042766 456761087 520074505 894085532 913522174 1040149010 1117606915 1827044348 2080298020 2235213830 2283805435 4470427660 4567610870 9135221740 10505505001 21011010002 42022020004 52527525005 105055050010 210110100020