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11100022098 = 2311832817211
BaseRepresentation
bin10100101011001110…
…01110010101010010
31001122120122112202120
422111213032111102
5140213101201343
65033235555110
7542032426314
oct122547162522
931576575676
1011100022098
114786744990
12219945ba96
13107b878219
147742a97b4
1544e74a683
hex2959ce552

11100022098 has 64 divisors (see below), whose sum is σ = 24600651264. Its totient is φ = 3310832000.

The previous prime is 11100022097. The next prime is 11100022121. The reversal of 11100022098 is 89022000111.

11100022098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11100022097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535713 + ... + 1542923.

It is an arithmetic number, because the mean of its divisors is an integer number (384385176).

Almost surely, 211100022098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100022098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300325632).

11100022098 is an abundant number, since it is smaller than the sum of its proper divisors (13500629166).

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

11100022098 is a wasteful number, since it uses less digits than its factorization.

11100022098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 11100022098 in words is "eleven billion, one hundred million, twenty-two thousand, ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 281 498 562 843 913 1686 1826 2739 3091 5478 6182 7211 9273 14422 18546 21633 23323 43266 46646 69969 79321 139938 158642 237963 256553 475926 513106 598513 769659 1197026 1539318 1795539 2026291 3591078 4052582 6078873 6583643 12157746 13167286 19750929 22289201 39501858 44578402 66867603 133735206 168182153 336364306 504546459 1009092918 1850003683 3700007366 5550011049 11100022098