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1022023033213 = 71334313327311
BaseRepresentation
bin11101101111101010101…
…00011110000101111101
310121201000112122102120211
432313311110132011331
5113221100344030323
62101302204312421
7133560453305650
oct16676524360575
93551015572524
101022023033213
1136448a3a3796
121460a9542711
13754b7b23740
14376752a1897
151b8b9de470d
hexedf551e17d

1022023033213 has 16 divisors (see below), whose sum is σ = 1257915004416. Its totient is φ = 808607571840.

The previous prime is 1022023033151. The next prime is 1022023033237. The reversal of 1022023033213 is 3123303202201.

It is a cyclic number.

It is not a de Polignac number, because 1022023033213 - 221 = 1022020936061 is a prime.

It is a super-3 number, since 3×10220230332133 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022023033013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2958828 + ... + 3286138.

It is an arithmetic number, because the mean of its divisors is an integer number (78619687776).

Almost surely, 21022023033213 is an apocalyptic number.

1022023033213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022023033213 is a deficient number, since it is larger than the sum of its proper divisors (235891971203).

1022023033213 is a wasteful number, since it uses less digits than its factorization.

1022023033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361644.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1022023033213 its reverse (3123303202201), we get a palindrome (4145326235414).

The spelling of 1022023033213 in words is "one trillion, twenty-two billion, twenty-three million, thirty-three thousand, two hundred thirteen".

Divisors: 1 7 13 91 34313 240191 327311 446069 2291177 3122483 4255043 29785301 11231022343 78617156401 146003290459 1022023033213