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2023020223133 = 713619729312823
BaseRepresentation
bin11101011100000101011…
…001101101101010011101
321011101202202110100110212
4131130011121231222131
5231121121134120013
64145210200142205
7266105220113150
oct35340531555235
97141682410425
102023020223133
1170aa5a1a3188
122880a9467965
13118a01884390
146dcb3d23c97
1537953e846a8
hex1d70566da9d

2023020223133 has 64 divisors (see below), whose sum is σ = 2565704451072. Its totient is φ = 1552721633280.

The previous prime is 2023020223127. The next prime is 2023020223193. The reversal of 2023020223133 is 3313220203202.

It is a cyclic number.

It is not a de Polignac number, because 2023020223133 - 226 = 2022953114269 is a prime.

It is a super-2 number, since 2×20230202231332 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2023020223099 and 2023020223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023020223123) 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 63 ways as a sum of consecutive naturals, for example, 157758560 + ... + 157771382.

It is an arithmetic number, because the mean of its divisors is an integer number (40089132048).

Almost surely, 22023020223133 is an apocalyptic number.

It is an amenable number.

2023020223133 is a deficient number, since it is larger than the sum of its proper divisors (542684227939).

2023020223133 is a wasteful number, since it uses less digits than its factorization.

2023020223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13294.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2023020223133 its reverse (3313220203202), we get a palindrome (5336240426335).

The spelling of 2023020223133 in words is "two trillion, twenty-three billion, twenty million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 7 13 61 91 97 293 427 679 793 1261 2051 3809 5551 5917 8827 12823 17873 26663 28421 41419 76921 89761 125111 166699 198947 232349 369473 538447 782203 1166893 1243831 1626443 1733681 2586311 3757139 5475421 8706817 10168639 12135767 16169803 22537853 26299973 48842807 71180473 75873691 113188621 157764971 229185479 341899649 364442483 531115837 986357983 1604298353 2551097381 2979411227 4737752279 6904505881 20855878589 22230991463 33164265953 155616940241 289002889019 2023020223133