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1242220210704 = 24361116575843
BaseRepresentation
bin10010000100111010000…
…110000010101000010000
311101202101110111001000000
4102010322012002220100
5130323031333220304
62350400150130000
7155514242400234
oct22047206025020
94352343431000
101242220210704
11439905a19310
12180901050900
13901aa626bc5
14441a39145c4
15224a6582939
hex1213a182a10

1242220210704 has 280 divisors, whose sum is σ = 3939651765792. Its totient is φ = 376138805760.

The previous prime is 1242220210631. The next prime is 1242220210723. The reversal of 1242220210704 is 4070120222421.

It is a happy number.

1242220210704 is a `hidden beast` number, since 1 + 2 + 422 + 20 + 210 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×12422202107042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 212596807 + ... + 212602649.

Almost surely, 21242220210704 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 1242220210704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969825882896).

1242220210704 is an abundant number, since it is smaller than the sum of its proper divisors (2697431555088).

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

1242220210704 is a wasteful number, since it uses less digits than its factorization.

1242220210704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 1242220210704 in words is "one trillion, two hundred forty-two billion, two hundred twenty million, two hundred ten thousand, seven hundred four".