Search a number
-
+
1021110122120 = 2351142117213203
BaseRepresentation
bin11101101101111101110…
…01111111011010001000
310121121122220211201222212
432312332321333122020
5113212213142401440
62101031433404252
7133526026554404
oct16667671773210
93547586751885
101021110122120
11364061053110
12145a93869688
13753a095946a
14375c9d44104
151b864bb7465
hexedbee7f688

1021110122120 has 128 divisors (see below), whose sum is σ = 2514559178880. Its totient is φ = 370099968000.

The previous prime is 1021110122099. The next prime is 1021110122129. The reversal of 1021110122120 is 212210111201.

It is a junction number, because it is equal to n+sod(n) for n = 1021110122095 and 1021110122104.

It is not an unprimeable number, because it can be changed into a prime (1021110122129) 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, 318796439 + ... + 318799641.

It is an arithmetic number, because the mean of its divisors is an integer number (19644993585).

Almost surely, 21021110122120 is an apocalyptic number.

1021110122120 is a gapful number since it is divisible by the number (10) 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 1021110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257279589440).

1021110122120 is an abundant number, since it is smaller than the sum of its proper divisors (1493449056760).

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

1021110122120 is a wasteful number, since it uses less digits than its factorization.

1021110122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1021110122120 its reverse (212210111201), we get a palindrome (1233320233321).

The spelling of 1021110122120 in words is "one trillion, twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 421 440 842 1684 1721 2105 3203 3368 3442 4210 4631 6406 6884 8420 8605 9262 12812 13768 16015 16840 17210 18524 18931 23155 25624 32030 34420 35233 37048 37862 46310 64060 68840 70466 75724 92620 94655 128120 140932 151448 176165 185240 189310 281864 352330 378620 704660 724541 757240 1348463 1409320 1449082 2696926 2898164 3622705 5393852 5512363 5796328 6742315 7245410 7969951 10787704 11024726 13484630 14490820 14833093 15939902 22049452 26969260 27561815 28981640 29666186 31879804 39849755 44098904 53938520 55123630 59332372 60635993 63759608 74165465 79699510 110247260 118664744 121271986 148330930 159399020 220494520 242543972 296661860 303179965 318798040 485087944 593323720 606359930 1212719860 2320704823 2425439720 4641409646 9282819292 11603524115 18565638584 23207048230 25527753053 46414096460 51055506106 92828192920 102111012212 127638765265 204222024424 255277530530 510555061060 1021110122120