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11000110110112 = 252979229655219
BaseRepresentation
bin1010000000010010100110…
…1001111101010110100000
31102221121012120211211222201
42200010221221331112200
52420211211142010422
635221214131342544
72213505661124134
oct240045151752640
942847176754881
1011000110110112
113561136426302
121297a8a751a54
1361a3c9197576
142a05a00393c4
151412111a9727
hexa0129a7d5a0

11000110110112 has 96 divisors (see below), whose sum is σ = 22785930720000. Its totient is φ = 5220273816576.

The previous prime is 11000110110089. The next prime is 11000110110151. The reversal of 11000110110112 is 21101101100011.

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, 16460839 + ... + 17116057.

It is an arithmetic number, because the mean of its divisors is an integer number (237353445000).

Almost surely, 211000110110112 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 11000110110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392965360000).

11000110110112 is an abundant number, since it is smaller than the sum of its proper divisors (11785820609888).

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

11000110110112 is a wasteful number, since it uses less digits than its factorization.

11000110110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655566 (or 655558 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11000110110112 its reverse (21101101100011), we get a palindrome (32101211210123).

The spelling of 11000110110112 in words is "eleven trillion, one hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 229 232 316 458 464 632 916 928 1264 1832 2291 2528 3664 4582 6641 7328 9164 13282 18091 18328 26564 36182 36656 53128 72364 73312 106256 144728 212512 289456 524639 578912 655219 1049278 1310438 2098556 2620876 4197112 5241752 8394224 10483504 16788448 19001351 20967008 38002702 51762301 76005404 103524602 150045151 152010808 207049204 300090302 304021616 414098408 600180604 608043232 828196816 1200361208 1501106729 1656393632 2400722416 3002213458 4351309379 4801444832 6004426916 8702618758 11853566929 12008853832 17405237516 23707133858 24017707664 34810475032 47414267716 48035415328 69620950064 94828535432 139241900128 189657070864 343753440941 379314141728 687506881882 1375013763764 2750027527528 5500055055056 11000110110112