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1111102000112 = 241327333716703
BaseRepresentation
bin10000001010110010110…
…101110000101111110000
310221012221121102210211002
4100022302311300233300
5121201014103000422
62210233323541132
7143163100112546
oct20126265605760
93835847383732
101111102000112
11399241126aa5
1215b40998a7a8
1380a12b96900
143bac5b29d96
151dd8048c692
hex102b2d70bf0

1111102000112 has 120 divisors (see below), whose sum is σ = 2370181941504. Its totient is φ = 504260370432.

The previous prime is 1111102000097. The next prime is 1111102000123. The reversal of 1111102000112 is 2110002011111.

It is a junction number, because it is equal to n+sod(n) for n = 1111102000093 and 1111102000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66512753 + ... + 66529455.

Almost surely, 21111102000112 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 1111102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185090970752).

1111102000112 is an abundant number, since it is smaller than the sum of its proper divisors (1259079941392).

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

1111102000112 is a wasteful number, since it uses less digits than its factorization.

1111102000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1111102000112 its reverse (2110002011111), we get a palindrome (3221104011223).

The spelling of 1111102000112 in words is "one trillion, one hundred eleven billion, one hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 73 104 146 169 208 292 337 338 584 674 676 949 1168 1348 1352 1898 2696 2704 3796 4381 5392 7592 8762 12337 15184 16703 17524 24601 24674 33406 35048 49202 49348 56953 66812 70096 98404 98696 113906 133624 196808 197392 217139 227812 267248 319813 393616 434278 455624 639626 868556 911248 1219319 1279252 1737112 2438638 2558504 2822807 3474224 4157569 4877276 5117008 5628911 5645614 8315138 9754552 11257822 11291228 15851147 16630276 19509104 22515644 22582456 31702294 33260552 45031288 45164912 63404588 66521104 73175843 90062576 126809176 146351686 206064911 253618352 292703372 410910503 412129822 585406744 821821006 824259644 951285959 1170813488 1643642012 1648519288 1902571918 3287284024 3297038576 3805143836 5341836539 6574568048 7610287672 10683673078 15220575344 21367346156 42734692312 69443875007 85469384624 138887750014 277775500028 555551000056 1111102000112