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8831221381122 = 2372416112010463
BaseRepresentation
bin1000000010000010110111…
…0100000011100000000010
31011021020221000001122010220
42000200231310003200002
52124142320133143442
630441001311003510
71601014620116100
oct200405564034002
934236830048126
108831221381122
1128a5333270748
12ba7672209596
134c0a1bca503a
1422760d346c70
15104ac11e1eec
hex8082dd03802

8831221381122 has 96 divisors (see below), whose sum is σ = 21392269807104. Its totient is φ = 2421309139200.

The previous prime is 8831221381093. The next prime is 8831221381181. The reversal of 8831221381122 is 2211831221388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5269938 + ... + 6740525.

It is an arithmetic number, because the mean of its divisors is an integer number (222836143824).

Almost surely, 28831221381122 is an apocalyptic number.

8831221381122 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

8831221381122 is an abundant number, since it is smaller than the sum of its proper divisors (12561048425982).

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

8831221381122 is a wasteful number, since it uses less digits than its factorization.

8831221381122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010584 (or 12010577 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 8831221381122 in words is "eight trillion, eight hundred thirty-one billion, two hundred twenty-one million, three hundred eighty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 61 82 98 122 123 147 183 246 287 294 366 427 574 854 861 1281 1722 2009 2501 2562 2989 4018 5002 5978 6027 7503 8967 12054 15006 17507 17934 35014 52521 105042 122549 245098 367647 735294 12010463 24020926 36031389 72062778 84073241 168146482 252219723 492428983 504439446 588512687 732638243 984857966 1177025374 1465276486 1477286949 1765538061 2197914729 2954573898 3447002881 3531076122 4395829458 5128467701 6894005762 10256935402 10341008643 15385403103 20682017286 24129020167 30038167963 30770806206 35899273907 48258040334 60076335926 71798547814 72387060501 90114503889 107697821721 144774121002 180229007778 210267175741 215395643442 420534351482 630801527223 1261603054446 1471870230187 2943740460374 4415610690561 8831221381122