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2033123013103 = 713217229474363
BaseRepresentation
bin11101100101011111100…
…100110011000111101111
321012100211211122020221011
4131211133210303013233
5231302313442404403
64154000454050051
7266613453320260
oct35453744630757
97170754566834
102033123013103
11714273a34886
1228a048949927
13119951951200
14705919a2967
1537d45d98a6d
hex1d95f9331ef

2033123013103 has 144 divisors (see below), whose sum is σ = 2824403143680. Its totient is φ = 1430363031552.

The previous prime is 2033123013079. The next prime is 2033123013127. The reversal of 2033123013103 is 3013103213302.

It is an interprime number because it is at equal distance from previous prime (2033123013079) and next prime (2033123013127).

It is not a de Polignac number, because 2033123013103 - 217 = 2033122882031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033123013193) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465989800 + ... + 465994162.

It is an arithmetic number, because the mean of its divisors is an integer number (19613910720).

Almost surely, 22033123013103 is an apocalyptic number.

2033123013103 is a deficient number, since it is larger than the sum of its proper divisors (791280130577).

2033123013103 is a wasteful number, since it uses less digits than its factorization.

2033123013103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2033123013103 its reverse (3013103213302), we get a palindrome (5046226226405).

The spelling of 2033123013103 in words is "two trillion, thirty-three billion, one hundred twenty-three million, thirteen thousand, one hundred three".

Divisors: 1 7 13 17 29 47 91 119 169 203 221 289 329 377 493 611 799 1183 1363 1547 2023 2639 2873 3451 3757 4277 4363 4901 5593 6409 7943 8381 9541 10387 13583 17719 20111 23171 26299 30541 34307 44863 48841 55601 56719 58667 72709 74171 83317 95081 108953 124033 126527 135031 162197 176579 205061 230347 301223 341887 393907 397033 519197 583219 737347 762671 885689 945217 964223 1236053 1260907 1416389 1435427 1612429 1644851 2108561 2150959 2295527 2665793 2757349 3486037 3915899 5120791 5161429 5946769 6749561 8826349 9914723 11513957 12534899 15056713 16068689 16391791 18660551 21383063 24402259 27411293 27962467 34655309 35845537 36566303 41627383 45318481 59262629 66570283 77307997 87744293 101095073 114742537 149681441 195737269 213093283 242587163 255964121 317229367 363512071 414838403 465991981 475361939 541155979 589140253 707665511 770414177 1005003961 1314235949 1491652981 1718616241 2544584497 3327533573 4123981771 5392899239 6179705207 7035027727 9199651643 10015384301 12030313687 17085067337 22342011133 43257936449 70107690107 119595471359 156394077931 290446144729 2033123013103