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1022242422201 = 37311213337101
BaseRepresentation
bin11101110000000100110…
…01010111110110111001
310121201120211110112200220
432320002121113312321
5113222023030002301
62101340042450253
7133566056136000
oct16700231276671
93551524415626
101022242422201
11364592219a00
1214614ab03989
1375521409000
143769648dc37
151b8ce2cd936
hexee02657db9

1022242422201 has 384 divisors, whose sum is σ = 1963054464000. Its totient is φ = 472215744000.

The previous prime is 1022242422137. The next prime is 1022242422251.

1022242422201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022242422201 - 26 = 1022242422137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022242422251) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10121212051 + ... + 10121212151.

It is an arithmetic number, because the mean of its divisors is an integer number (5112121000).

Almost surely, 21022242422201 is an apocalyptic number.

1022242422201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022242422201 is a deficient number, since it is larger than the sum of its proper divisors (940812041799).

1022242422201 is a wasteful number, since it uses less digits than its factorization.

1022242422201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 1022242422201 in words is "one trillion, twenty-two billion, two hundred forty-two million, four hundred twenty-two thousand, two hundred one".