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11100120216 = 23317227119851
BaseRepresentation
bin10100101011001111…
…00110010010011000
31001122120211112100120
422111213212102120
5140213112321331
65033242033240
7542033315343
oct122547462230
931576745316
1011100120216
114786801679
1221994a8820
13107b8b0a93
147742d345a
1544e769796
hex2959e6498

11100120216 has 64 divisors (see below), whose sum is σ = 29512356480. Its totient is φ = 3467020800.

The previous prime is 11100120151. The next prime is 11100120217. The reversal of 11100120216 is 61202100111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11100120195 and 11100120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100120217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32691 + ... + 152541.

It is an arithmetic number, because the mean of its divisors is an integer number (461130570).

Almost surely, 211100120216 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 11100120216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756178240).

11100120216 is an abundant number, since it is smaller than the sum of its proper divisors (18412236264).

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

11100120216 is a wasteful number, since it uses less digits than its factorization.

11100120216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120104 (or 120100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11100120216 its reverse (61202100111), we get a palindrome (72302220327).

The spelling of 11100120216 in words is "eleven billion, one hundred million, one hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 227 408 454 681 908 1362 1816 2724 3859 5448 7718 11577 15436 23154 30872 46308 92616 119851 239702 359553 479404 719106 958808 1438212 2037467 2876424 4074934 6112401 8149868 12224802 16299736 24449604 27206177 48899208 54412354 81618531 108824708 163237062 217649416 326474124 462505009 652948248 925010018 1387515027 1850020036 2775030054 3700040072 5550060108 11100120216