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2153123405301 = 3114759831971439
BaseRepresentation
bin11111010101010000001…
…001111101110111110101
321121211120212112210102110
4133111100021331313311
5240234044042432201
64325044203001233
7311362255655151
oct37252011756765
97554525483373
102153123405301
11760153037630
122a9358809219
13128066c44c3b
14762d6dac061
153b01adca6d6
hex1f55027ddf5

2153123405301 has 128 divisors (see below), whose sum is σ = 3310859059200. Its totient is φ = 1233231560960.

The previous prime is 2153123405239. The next prime is 2153123405309. The reversal of 2153123405301 is 1035043213512.

It is a cyclic number.

It is not a de Polignac number, because 2153123405301 - 214 = 2153123388917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153123405309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1496262940 + ... + 1496264378.

It is an arithmetic number, because the mean of its divisors is an integer number (25866086400).

Almost surely, 22153123405301 is an apocalyptic number.

It is an amenable number.

2153123405301 is a deficient number, since it is larger than the sum of its proper divisors (1157735653899).

2153123405301 is a wasteful number, since it uses less digits than its factorization.

2153123405301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 2153123405301 its reverse (1035043213512), we get a palindrome (3188166618813).

The spelling of 2153123405301 in words is "two trillion, one hundred fifty-three billion, one hundred twenty-three million, four hundred five thousand, three hundred one".

Divisors: 1 3 11 33 47 59 83 141 177 197 249 517 591 649 913 1439 1551 1947 2167 2739 2773 3901 4317 4897 6501 8319 9259 11623 11703 14691 15829 16351 27777 30503 34869 42911 47487 49053 53867 67633 84901 91509 101849 119437 127853 128733 161601 179861 202899 230159 254703 283483 305547 358311 383559 539583 546281 690477 743963 768497 850449 933911 964709 1313807 1638843 2231889 2305491 2531749 2801733 2894127 3118313 3941421 3990347 5613539 6009091 7046783 7595247 8453467 9354939 10611799 11971041 13323701 16725497 16840617 18027273 21140349 23529089 25360401 31835397 39971103 43893817 45341323 50176491 61748929 70587267 77514613 131681451 136023969 146560711 183980467 185246787 232543839 258819979 331198801 439682133 498754553 551941401 776459937 786098359 993596403 1105867183 1388216251 1496263659 2358295077 3317601549 3643186811 4164648753 8647081949 10929560433 12164539013 15270378761 25941245847 36493617039 45811136283 65246163797 195738491391 717707801767 2153123405301