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1130214400112 = 247471791199477
BaseRepresentation
bin10000011100100110000…
…001110010000001110000
311000001021120210022202202
4100130212001302001300
5122004134341300422
62223114025002332
7144440523614420
oct20344601620160
94001246708682
101130214400112
113a6359622aa6
121630626233a8
138276a6c9c35
143c9ba1a2480
151e5ed32ab92
hex10726072070

1130214400112 has 80 divisors (see below), whose sum is σ = 2570145500160. Its totient is φ = 471422855424.

The previous prime is 1130214400097. The next prime is 1130214400129. The reversal of 1130214400112 is 2110044120311.

It is a super-2 number, since 2×11302144001122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 342518 + ... + 1541994.

It is an arithmetic number, because the mean of its divisors is an integer number (32126818752).

Almost surely, 21130214400112 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 1130214400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285072750080).

1130214400112 is an abundant number, since it is smaller than the sum of its proper divisors (1439931100048).

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

1130214400112 is a wasteful number, since it uses less digits than its factorization.

1130214400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199718 (or 1199712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1130214400112 its reverse (2110044120311), we get a palindrome (3240258520423).

The spelling of 1130214400112 in words is "one trillion, one hundred thirty billion, two hundred fourteen million, four hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 179 188 329 358 376 658 716 752 1253 1316 1432 2506 2632 2864 5012 5264 8413 10024 16826 20048 33652 58891 67304 117782 134608 235564 471128 942256 1199477 2398954 4797908 8396339 9595816 16792678 19191632 33585356 56375419 67170712 112750838 134341424 214706383 225501676 394627933 429412766 451003352 789255866 858825532 902006704 1502944681 1578511732 1717651064 3005889362 3157023464 3435302128 6011778724 6314046928 10091200001 12023557448 20182400002 24047114896 40364800004 70638400007 80729600008 141276800014 161459200016 282553600028 565107200056 1130214400112