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1022331020013 = 32592879668737
BaseRepresentation
bin11101110000001111010…
…11010110001011101101
310121201211000011210001100
432320013223112023231
5113222213220120023
62101352525433313
7133601213201442
oct16700753261355
93551730153040
101022331020013
11364628232836
1214617470b839
1375536889954
14376a41539c9
151b8d6e7ec43
hexee07ad62ed

1022331020013 has 24 divisors (see below), whose sum is σ = 1502253043200. Its totient is φ = 669768528384.

The previous prime is 1022331019979. The next prime is 1022331020023. The reversal of 1022331020013 is 3100201332201.

It is not a de Polignac number, because 1022331020013 - 236 = 953611543277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022331020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194381 + ... + 1863117.

It is an arithmetic number, because the mean of its divisors is an integer number (62593876800).

Almost surely, 21022331020013 is an apocalyptic number.

It is an amenable number.

1022331020013 is a deficient number, since it is larger than the sum of its proper divisors (479922023187).

1022331020013 is a wasteful number, since it uses less digits than its factorization.

1022331020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671681 (or 671678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022331020013 its reverse (3100201332201), we get a palindrome (4122532352214).

The spelling of 1022331020013 in words is "one trillion, twenty-two billion, three hundred thirty-one million, twenty thousand, thirteen".

Divisors: 1 3 9 59 177 531 2879 8637 25911 169861 509583 668737 1528749 2006211 6018633 39455483 118366449 355099347 1925293823 5775881469 17327644407 113592335557 340777006671 1022331020013