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110020002210 = 232512717355639
BaseRepresentation
bin110011001110110110…
…1000000000110100010
3101111222111001012020200
41212131231000012202
53300310110032320
6122313102250030
710643253405636
oct1463555000642
9344874035220
10110020002210
1142728472068
12193a5586916
13a4b46b1331
145479b0cdc6
152cddc49290
hex199db401a2

110020002210 has 96 divisors (see below), whose sum is σ = 289976094720. Its totient is φ = 28938881664.

The previous prime is 110020002187. The next prime is 110020002221. The reversal of 110020002210 is 12200020011.

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 = 110020002192 and 110020002201.

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, 1949571 + ... + 2005209.

It is an arithmetic number, because the mean of its divisors is an integer number (3020584320).

Almost surely, 2110020002210 is an apocalyptic number.

110020002210 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 110020002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144988047360).

110020002210 is an abundant number, since it is smaller than the sum of its proper divisors (179956092510).

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

110020002210 is a wasteful number, since it uses less digits than its factorization.

110020002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55952 (or 55949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110020002210 its reverse (12200020011), we get a palindrome (122220022221).

The spelling of 110020002210 in words is "one hundred ten billion, twenty million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 173 254 346 381 519 635 762 865 1038 1143 1270 1557 1730 1905 2286 2595 3114 3810 5190 5715 7785 11430 15570 21971 43942 55639 65913 109855 111278 131826 166917 197739 219710 278195 329565 333834 395478 500751 556390 659130 834585 988695 1001502 1669170 1977390 2503755 5007510 7066153 9625547 14132306 19251094 21198459 28876641 35330765 42396918 48127735 57753282 63595377 70661530 86629923 96255470 105992295 127190754 144383205 173259846 211984590 288766410 317976885 433149615 635953770 866299230 1222444469 2444888938 3667333407 6112222345 7334666814 11002000221 12224444690 18336667035 22004000442 36673334070 55010001105 110020002210