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2121112411353 = 3313371912273767
BaseRepresentation
bin11110110111011100001…
…001101101110011011001
321111202221222012210222000
4132313130021231303121
5234223014234130403
64302231532151213
7306150100005165
oct36673411556331
97452858183860
102121112411353
11748616728031
122a3104308509
131250350566c0
147493b845ca5
153a29596b7a3
hex1eddc26dcd9

2121112411353 has 128 divisors (see below), whose sum is σ = 3510092759040. Its totient is φ = 1257472823040.

The previous prime is 2121112411351. The next prime is 2121112411361. The reversal of 2121112411353 is 3531142111212.

2121112411353 is a `hidden beast` number, since 2 + 1 + 211 + 1 + 2 + 411 + 35 + 3 = 666.

It is not a de Polignac number, because 2121112411353 - 21 = 2121112411351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2121112411351) 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, 563075476 + ... + 563079242.

It is an arithmetic number, because the mean of its divisors is an integer number (27422599680).

Almost surely, 22121112411353 is an apocalyptic number.

It is an amenable number.

2121112411353 is a deficient number, since it is larger than the sum of its proper divisors (1388980347687).

2121112411353 is a wasteful number, since it uses less digits than its factorization.

2121112411353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 2121112411353 its reverse (3531142111212), we get a palindrome (5652254522565).

The spelling of 2121112411353 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, four hundred eleven thousand, three hundred fifty-three".

Divisors: 1 3 9 13 27 37 39 111 117 191 227 333 351 481 573 681 999 1443 1719 2043 2483 2951 3767 4329 5157 6129 7067 7449 8399 8853 11301 12987 21201 22347 25197 26559 33903 43357 48971 63603 67041 75591 79677 91871 101709 109187 130071 139379 146913 190809 226773 275613 327561 390213 418137 440739 563641 719497 826839 855109 982683 1170639 1254411 1322217 1604209 1690923 1811927 2158491 2480517 2565327 2948049 3763233 4812627 5072769 5435781 6475473 7695981 9353461 11116417 14437881 15218307 16307343 19426419 20854717 23087943 26621389 28060383 31639033 33349251 43313643 48922029 62564151 79864167 84181149 94917099 100047753 163325819 187692453 239592501 252543447 284751297 300143259 346078057 411307429 489977457 563077359 718777503 854253891 1038234171 1233922287 1469932371 2123235647 3114702513 3701766861 4409797113 6043055303 6369706941 9344107539 11105300583 18129165909 19109120823 54387497727 57327362469 78559718939 163162493181 235679156817 707037470451 2121112411353