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112102331301213 = 31131210933619649
BaseRepresentation
bin11001011111010011011011…
…101000101011110101011101
3112200220212201012210100101020
4121133103123220223311131
5104143141033303114323
61034231033335434353
732420061162652641
oct3137233350536535
9480825635710336
10112102331301213
11327a03715771a0
12106a6223b259b9
134a72287329726
141d97ad330ac21
15ce608b430ae3
hex65f4dba2bd5d

112102331301213 has 96 divisors (see below), whose sum is σ = 170101519632000. Its totient is φ = 65119832064000.

The previous prime is 112102331301209. The next prime is 112102331301221. The reversal of 112102331301213 is 312103133201211.

It is not a de Polignac number, because 112102331301213 - 22 = 112102331301209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102331301313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11618021013 + ... + 11618030661.

It is an arithmetic number, because the mean of its divisors is an integer number (1771890829500).

Almost surely, 2112102331301213 is an apocalyptic number.

It is an amenable number.

112102331301213 is a deficient number, since it is larger than the sum of its proper divisors (57999188330787).

112102331301213 is a wasteful number, since it uses less digits than its factorization.

112102331301213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13195 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 112102331301213 its reverse (312103133201211), we get a palindrome (424205464502424).

The spelling of 112102331301213 in words is "one hundred twelve trillion, one hundred two billion, three hundred thirty-one million, three hundred one thousand, two hundred thirteen".

Divisors: 1 3 11 31 33 93 109 327 341 961 1023 1199 2883 3361 3379 3597 9649 10083 10137 10571 28947 31713 36971 37169 104191 104749 106139 110913 111507 299119 312573 314247 318417 366349 897357 1051741 1099047 1146101 1152239 3155223 3229921 3290309 3438303 3456717 4029839 9272689 9689763 9870927 11356819 11569151 12089517 27818067 32430289 32603971 34070457 34707453 35529131 97290867 97811913 101999579 106587393 124925009 305998737 352061389 356733179 358643681 374775027 1005338959 1010723101 1056184167 1070199537 1075931043 3016016877 3032169303 3534901501 3872675279 10604704503 11058728549 11117954111 11618025837 31165507729 33176185647 33353862333 38883916511 93496523187 109581946531 116651749533 328745839593 342820585019 1028461755057 1205401411841 3397040342461 3616204235523 10191121027383 37367443767071 112102331301213