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11102112001002 = 2311617139079941
BaseRepresentation
bin1010000110001110100101…
…1100010010101111101010
31110022100111021101210021110
42201203221130102233222
52423344111133013002
635340123450051150
72224046453651211
oct241435134225752
943270437353243
1011102112001002
1135a041987a690
1212b37b6a19ab6
13626c03663c19
142a54b8cc8078
15143bd102be6c
hexa18e9712bea

11102112001002 has 128 divisors (see below), whose sum is σ = 24975546034176. Its totient is φ = 3261353760000.

The previous prime is 11102112000971. The next prime is 11102112001037. The reversal of 11102112001002 is 20010021120111.

11102112001002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116795352 + ... + 1116805292.

It is an arithmetic number, because the mean of its divisors is an integer number (195121453392).

Almost surely, 211102112001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102112001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487773017088).

11102112001002 is an abundant number, since it is smaller than the sum of its proper divisors (13873434033174).

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

11102112001002 is a wasteful number, since it uses less digits than its factorization.

11102112001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102112001002 its reverse (20010021120111), we get a palindrome (31112133121113).

It can be divided in two parts, 1110 and 2112001002, that added together give a palindrome (2112002112).

The spelling of 11102112001002 in words is "eleven trillion, one hundred two billion, one hundred twelve million, one thousand, two".

Divisors: 1 2 3 6 11 22 33 61 66 71 122 142 183 213 366 426 671 781 1342 1562 2013 2343 3907 4026 4331 4686 7814 8662 9941 11721 12993 19882 23442 25986 29823 42977 47641 59646 85954 95282 109351 128931 142923 218702 238327 257862 277397 285846 328053 476654 554794 606401 656106 705811 714981 832191 1212802 1411622 1429962 1664382 1819203 2117433 2621597 3051367 3638406 4234866 5243194 6102734 6670411 7763921 7864791 9154101 13340822 15527842 15729582 16921217 18308202 20011233 23291763 33842434 38839487 40022466 43054471 46583526 50763651 77678974 86108942 101527302 116518461 129163413 186133387 233036922 258326826 372266774 427234357 473599181 558400161 854468714 947198362 1116800322 1281703071 1420797543 2369208707 2563406142 2757603577 2841595086 4738417414 5515207154 7107626121 8272810731 14215252242 16545621462 26061295777 30333639347 52122591554 60667278694 78183887331 91000918041 156367774662 168213818197 182001836082 336427636394 504641454591 1009282909182 1850352000167 3700704000334 5551056000501 11102112001002