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11002232112012 = 22321721477171593
BaseRepresentation
bin1010000000011010100000…
…1000110000001110001100
31102221210200110202201100200
42200012220020300032030
52420230032410041022
635222204453253500
72213612365625451
oct240065010601614
942853613681320
1011002232112012
113562025221789
121298381334290
1361a6769b9aab
142a0721bb1828
151412d761abac
hexa01a823038c

11002232112012 has 108 divisors (see below), whose sum is σ = 29545795950216. Its totient is φ = 3451398773760.

The previous prime is 11002232111993. The next prime is 11002232112041. The reversal of 11002232112012 is 21021123220011.

It is a super-2 number, since 2×110022321120122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153641688 + ... + 153713280.

Almost surely, 211002232112012 is an apocalyptic number.

11002232112012 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 11002232112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772897975108).

11002232112012 is an abundant number, since it is smaller than the sum of its proper divisors (18543563838204).

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

11002232112012 is a wasteful number, since it uses less digits than its factorization.

11002232112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86408 (or 86386 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11002232112012 its reverse (21021123220011), we get a palindrome (32023355332023).

The spelling of 11002232112012 in words is "eleven trillion, two billion, two hundred thirty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 14771 29542 44313 59084 71593 88626 132939 143186 177252 214779 251107 265878 286372 429558 502214 531756 644337 753321 859116 1004428 1217081 1288674 1506642 2259963 2434162 2577348 3013284 3651243 4268819 4519926 4868324 7302486 8537638 9039852 10953729 12806457 14604972 17075276 20690377 21907458 25612914 38419371 41380754 43814916 51225828 62071131 76838742 82761508 124142262 153677484 186213393 248284524 372426786 744853572 1057500203 2115000406 3172500609 4230000812 6345001218 9517501827 12690002436 17977503451 19035003654 35955006902 38070007308 53932510353 71910013804 107865020706 161797531059 215730041412 305617558667 323595062118 611235117334 647190124236 916852676001 1222470234668 1833705352002 2750558028003 3667410704004 5501116056006 11002232112012