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11022010121000 = 2353103829129083
BaseRepresentation
bin1010000001100100001011…
…1111110111101100101000
31110000200201211120200012002
42200121002333313230220
52421041034042333000
635235235212510132
72215212454134314
oct240310277675450
943020654520162
1011022010121000
11356a45440865a
1212a0180a7b348
1361c4a93aa9a8
142a167a7ccb44
15141a93b368d5
hexa0642ff7b28

11022010121000 has 128 divisors (see below), whose sum is σ = 26073522259200. Its totient is φ = 4360699756800.

The previous prime is 11022010120991. The next prime is 11022010121071. The reversal of 11022010121000 is 12101022011.

11022010121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85322459 + ... + 85451541.

It is an arithmetic number, because the mean of its divisors is an integer number (203699392650).

Almost surely, 211022010121000 is an apocalyptic number.

11022010121000 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 11022010121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036761129600).

11022010121000 is an abundant number, since it is smaller than the sum of its proper divisors (15051512138200).

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

11022010121000 is a wasteful number, since it uses less digits than its factorization.

11022010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130036 (or 130022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11022010121000 its reverse (12101022011), we get a palindrome (11034111143011).

The spelling of 11022010121000 in words is "eleven trillion, twenty-two billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 829 1000 1030 1658 2060 2575 3316 4120 4145 5150 6632 8290 10300 12875 16580 20600 20725 25750 33160 41450 51500 82900 85387 103000 103625 129083 165800 170774 207250 258166 341548 414500 426935 516332 645415 683096 829000 853870 1032664 1290830 1707740 2134675 2581660 3227075 3415480 4269350 5163320 6454150 8538700 10673375 12908300 13295549 16135375 17077400 21346750 25816600 26591098 32270750 42693500 53182196 64541500 66477745 85387000 106364392 107009807 129083000 132955490 214019614 265910980 332388725 428039228 531821960 535049035 664777450 856078456 1070098070 1329554900 1661943625 2140196140 2659109800 2675245175 3323887250 4280392280 5350490350 6647774500 10700980700 11022010121 13295549000 13376225875 21401961400 22044020242 26752451750 44088040484 53504903500 55110050605 88176080968 107009807000 110220101210 220440202420 275550253025 440880404840 551100506050 1102201012100 1377751265125 2204402024200 2755502530250 5511005060500 11022010121000