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11222001000112 = 2472928431215283
BaseRepresentation
bin1010001101001101001101…
…1000100001111010110000
31110201210221112200222011211
42203103103120201322300
52432330124224000422
635511152135245504
72235522434432650
oct243232330417260
943653845628154
1011222001000112
11363725100a131
121312a95519894
136352cb855496
142ab20d5b8360
15146d9b3a8577
hexa34d3621eb0

11222001000112 has 80 divisors (see below), whose sum is σ = 25714631658240. Its totient is φ = 4641949460736.

The previous prime is 11222001000097. The next prime is 11222001000139. The reversal of 11222001000112 is 21100010022211.

It is a junction number, because it is equal to n+sod(n) for n = 11222001000092 and 11222001000101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626423 + ... + 9841705.

It is an arithmetic number, because the mean of its divisors is an integer number (321432895728).

Almost surely, 211222001000112 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 11222001000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857315829120).

11222001000112 is an abundant number, since it is smaller than the sum of its proper divisors (14492630658128).

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

11222001000112 is a wasteful number, since it uses less digits than its factorization.

11222001000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218170 (or 1218164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11222001000112 its reverse (21100010022211), we get a palindrome (32322011022323).

The spelling of 11222001000112 in words is "eleven trillion, two hundred twenty-two billion, one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 2843 3248 5686 11372 19901 22744 39802 45488 79604 82447 159208 164894 318416 329788 577129 659576 1154258 1215283 1319152 2308516 2430566 4617032 4861132 8506981 9234064 9722264 17013962 19444528 34027924 35243207 68055848 70486414 136111696 140972828 246702449 281945656 493404898 563891312 986809796 1973619592 3455049569 3947239184 6910099138 13820198276 24185346983 27640396552 48370693966 55280793104 96741387932 100196437501 193482775864 200392875002 386965551728 400785750004 701375062507 801571500008 1402750125014 1603143000016 2805500250028 5611000500056 11222001000112