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1021121101112 = 2371910131130553
BaseRepresentation
bin11101101101111111000…
…11110111110100111000
310121121200200111112100012
432312333203313310320
5113212224000213422
62101032505001052
7133526222102210
oct16667743676470
93547620445305
101021121101112
11364067271862
12145a97483188
13753a30017c8
14375cb5a1240
151b865b354e2
hexedbf8f7d38

1021121101112 has 128 divisors (see below), whose sum is σ = 2333641190400. Its totient is φ = 409152384000.

The previous prime is 1021121101019. The next prime is 1021121101139. The reversal of 1021121101112 is 2111011211201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 33406028 + ... + 33436580.

It is an arithmetic number, because the mean of its divisors is an integer number (18231571800).

Almost surely, 21021121101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021121101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166820595200).

1021121101112 is an abundant number, since it is smaller than the sum of its proper divisors (1312520089288).

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

1021121101112 is a wasteful number, since it uses less digits than its factorization.

1021121101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30997 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1021121101112 its reverse (2111011211201), we get a palindrome (3132132312313).

The spelling of 1021121101112 in words is "one trillion, twenty-one billion, one hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 101 133 152 202 266 311 404 532 622 707 808 1064 1244 1414 1919 2177 2488 2828 3838 4354 5656 5909 7676 8708 11818 13433 15352 17416 23636 26866 30553 31411 41363 47272 53732 61106 62822 82726 107464 122212 125644 165452 213871 219877 244424 251288 330904 427742 439754 580507 596809 855484 879508 1161014 1193618 1710968 1759016 2322028 2387236 3085853 4063549 4177663 4644056 4774472 6171706 8127098 8355326 9501983 12343412 16254196 16710652 19003966 21600971 24686824 32508392 33421304 38007932 43201942 58631207 66513881 76015864 86403884 117262414 133027762 172807768 180537677 234524828 266055524 361075354 410418449 469049656 532111048 722150708 820836898 959700283 1263763739 1444301416 1641673796 1919400566 2527527478 3283347592 3838801132 5055054956 6717901981 7677602264 10110109912 13435803962 18234305377 26871607924 36468610754 53743215848 72937221508 127640137639 145874443016 255280275278 510560550556 1021121101112