Search a number
-
+
2130123011121 = 327677117094159
BaseRepresentation
bin11110111111110101001…
…110011011010000110001
321112122012221020201010100
4132333311032123100301
5234344442442323441
64310322012423013
7306616301564310
oct36776516332061
97478187221110
102130123011121
1175141a9a8aa6
122a49b9a77a69
13125b3ca78541
147515441a277
153a621a3dcb6
hex1eff539b431

2130123011121 has 96 divisors (see below), whose sum is σ = 3622131302400. Its totient is φ = 1181182020480.

The previous prime is 2130123011069. The next prime is 2130123011129. The reversal of 2130123011121 is 1211103210312.

2130123011121 is a `hidden beast` number, since 2 + 1 + 301 + 230 + 11 + 121 = 666.

It is not a de Polignac number, because 2130123011121 - 218 = 2130122748977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130123011094 and 2130123011103.

It is not an unprimeable number, because it can be changed into a prime (2130123011129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512169840 + ... + 512173998.

It is an arithmetic number, because the mean of its divisors is an integer number (37730534400).

Almost surely, 22130123011121 is an apocalyptic number.

2130123011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2130123011121 is a deficient number, since it is larger than the sum of its proper divisors (1492008291279).

2130123011121 is a wasteful number, since it uses less digits than its factorization.

2130123011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2130123011121 its reverse (1211103210312), we get a palindrome (3341226221433).

The spelling of 2130123011121 in words is "two trillion, one hundred thirty billion, one hundred twenty-three million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 67 71 201 213 469 497 603 639 1407 1491 1709 4159 4221 4473 4757 5127 11963 12477 14271 15381 29113 33299 35889 37431 42813 87339 99897 107667 114503 121339 262017 278653 295289 299691 343509 364017 801521 835959 849373 885867 1030527 1092051 1950571 2067023 2404563 2507877 2548119 2657601 5851713 6201069 7107731 7213689 7644357 8129713 17555139 18603207 19784363 21323193 24389139 49754117 56907991 59353089 63969579 73167417 138490541 149262351 170723973 178059267 415471623 447787053 476217977 504648901 512171919 1246414869 1428653931 1513946703 3333525839 3532542307 4285961793 4541840109 10000577517 10597626921 30001732551 31792880763 33811476367 101434429101 236680334569 304303287303 710041003707 2130123011121