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11211113023012 = 2273722292834513
BaseRepresentation
bin1010001100100100101001…
…1010001100011000100100
31110200202211202001102110201
42203021022122030120210
52432140324413214022
635502151512200244
72234655555235330
oct243111232143044
943622752042421
1011211113023012
113632674034851
121310957099084
13634284bc0b96
142aa8995487c0
15146960596127
hexa324a68c624

11211113023012 has 144 divisors (see below), whose sum is σ = 23232174188160. Its totient is φ = 4637015175168.

The previous prime is 11211113022997. The next prime is 11211113023031. The reversal of 11211113023012 is 21032031111211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2484179668 + ... + 2484184180.

Almost surely, 211211113023012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211113023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616087094080).

11211113023012 is an abundant number, since it is smaller than the sum of its proper divisors (12021061165148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211113023012 is a wasteful number, since it uses less digits than its factorization.

11211113023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11211113023012 its reverse (21032031111211), we get a palindrome (32243144134223).

The spelling of 11211113023012 in words is "eleven trillion, two hundred eleven billion, one hundred thirteen million, twenty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 37 74 148 229 259 283 458 518 566 916 1036 1132 1369 1603 1981 2738 3206 3962 4513 5476 6412 7924 8473 9026 9583 10471 16946 18052 19166 20942 31591 33892 38332 41884 59311 63182 64807 73297 118622 126364 129614 146594 166981 237244 259228 293188 313501 333962 387427 453649 627002 667924 774854 907298 1033477 1168867 1254004 1277179 1549708 1814596 2066954 2194507 2337734 2397859 2554358 2711989 4133908 4389014 4675468 4795718 5108716 5423978 6178297 7234339 8778028 8940253 9591436 10847956 12356594 14468678 16785013 17880506 24713188 28937356 33570026 35761012 38238649 43248079 47255623 67140052 76477298 86496158 88720783 94511246 152954596 172992316 177441566 189022492 267670543 292473991 330789361 354883132 535341086 584947982 621045481 661578722 1070682172 1169895964 1242090962 1323157444 1414830013 1748458051 2047317937 2484181924 2829660026 3496916102 4094635874 5659320052 6993832204 8189271748 9903810091 10821537667 12239206357 19807620182 21643075334 24478412714 39615240364 43286150668 48956825428 75750763669 151501527338 303003054676 400396893679 800793787358 1601587574716 2802778255753 5605556511506 11211113023012