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11132131012212 = 2237229977668203
BaseRepresentation
bin1010000111111110011010…
…1101101110111001110100
31110102012222100110120010110
42201333212231232321310
52424342101014342322
635402010321423020
72226161404230300
oct241774655567164
943365870416113
1011132131012212
113602123819061
1212b959419aa70
136299a8954352
142a6b25a80d00
1514488b65dc0c
hexa1fe6b6ee74

11132131012212 has 144 divisors (see below), whose sum is σ = 31289748154560. Its totient is φ = 3067784875008.

The previous prime is 11132131012169. The next prime is 11132131012243. The reversal of 11132131012212 is 21221013123111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16325703 + ... + 16993905.

It is an arithmetic number, because the mean of its divisors is an integer number (217289917740).

Almost surely, 211132131012212 is an apocalyptic number.

11132131012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132131012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644874077280).

11132131012212 is an abundant number, since it is smaller than the sum of its proper divisors (20157617142348).

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

11132131012212 is a wasteful number, since it uses less digits than its factorization.

11132131012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669230 (or 669221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11132131012212 its reverse (21221013123111), we get a palindrome (32353144135323).

The spelling of 11132131012212 in words is "eleven trillion, one hundred thirty-two billion, one hundred thirty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 977 1218 1421 1954 2436 2842 2931 3908 4263 5684 5862 6839 8526 11724 13678 17052 20517 27356 28333 41034 47873 56666 82068 84999 95746 113332 143619 169998 191492 198331 287238 339996 396662 574476 594993 668203 793324 1189986 1336406 1388317 2004609 2379972 2672812 2776634 4009218 4164951 4677421 5553268 8018436 8329902 9354842 14032263 16659804 18709684 19377887 28064526 32741947 38755774 56129052 58133661 65483894 77511548 98225841 116267322 130967788 135645209 196451682 232534644 271290418 392903364 406935627 542580836 652834331 813871254 949516463 1305668662 1627742508 1899032926 1958502993 2611337324 2848549389 3798065852 3917005986 4569840317 5697098778 7834011972 9139680634 11394197556 13709520951 18279361268 18932195599 27419041902 31988882219 37864391198 54838083804 56796586797 63977764438 75728782396 95966646657 113593173594 127955528876 132525369193 191933293314 227186347188 265050738386 383866586628 397576107579 530101476772 795152215158 927677584351 1590304430316 1855355168702 2783032753053 3710710337404 5566065506106 11132131012212