Search a number
-
+
20122110 = 2325476771
BaseRepresentation
bin100110011000…
…0100111111110
31101212022100100
41030300213332
520122401420
61555141530
7333015021
oct114604776
941768310
1020122110
11103a4048
1268a48a6
134226b98
14295b1b8
151b77190
hex13309fe

20122110 has 96 divisors (see below), whose sum is σ = 54991872. Its totient is φ = 5100480.

The previous prime is 20122093. The next prime is 20122133. The reversal of 20122110 is 1122102.

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 = 20122092 and 20122101.

It is a congruent number.

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, 283375 + ... + 283445.

It is an arithmetic number, because the mean of its divisors is an integer number (572832).

Almost surely, 220122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27495936).

20122110 is an abundant number, since it is smaller than the sum of its proper divisors (34869762).

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

20122110 is a wasteful number, since it uses less digits than its factorization.

20122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

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

The square root of 20122110 is about 4485.7674928601. The cubic root of 20122110 is about 271.9930703973.

Adding to 20122110 its reverse (1122102), we get a palindrome (21244212).

The spelling of 20122110 in words is "twenty million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 67 71 90 94 134 141 142 201 213 235 282 335 355 402 423 426 470 603 639 670 705 710 846 1005 1065 1206 1278 1410 2010 2115 2130 3015 3149 3195 3337 4230 4757 6030 6298 6390 6674 9447 9514 10011 14271 15745 16685 18894 20022 23785 28341 28542 30033 31490 33370 42813 47235 47570 50055 56682 60066 71355 85626 94470 100110 141705 142710 150165 214065 223579 283410 300330 428130 447158 670737 1117895 1341474 2012211 2235790 3353685 4024422 6707370 10061055 20122110