Search a number
-
+
10101220110 = 23253118731933
BaseRepresentation
bin10010110100001010…
…00110001100001110
3222001222020011000100
421122011012030032
5131141403020420
64350200111530
7505213645212
oct113205061416
928058204010
1010101220110
11431396a1a3
121b5aa655a6
13c4c96a427
146bb790942
153e1c04190
hex25a14630e

10101220110 has 96 divisors (see below), whose sum is σ = 27138878208. Its totient is φ = 2604026880.

The previous prime is 10101220099. The next prime is 10101220111. The reversal of 10101220110 is 1102210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101220092 and 10101220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101220111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5224704 + ... + 5226636.

It is an arithmetic number, because the mean of its divisors is an integer number (282696648).

Almost surely, 210101220110 is an apocalyptic number.

10101220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569439104).

10101220110 is an abundant number, since it is smaller than the sum of its proper divisors (17037658098).

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

10101220110 is a wasteful number, since it uses less digits than its factorization.

10101220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101220110 its reverse (1102210101), we get a palindrome (11203430211).

The spelling of 10101220110 in words is "ten billion, one hundred one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 1873 1933 2790 3746 3866 5619 5799 9365 9665 11238 11598 16857 17397 18730 19330 28095 28995 33714 34794 56190 57990 58063 59923 84285 86985 116126 119846 168570 173970 174189 179769 290315 299615 348378 359538 522567 539307 580630 599230 870945 898845 1045134 1078614 1741890 1797690 2612835 2696535 3620509 5225670 5393070 7241018 10861527 18102545 21723054 32584581 36205090 54307635 65169162 108615270 112235779 162922905 224471558 325845810 336707337 561178895 673414674 1010122011 1122357790 1683536685 2020244022 3367073370 5050610055 10101220110