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11110212096 = 293171792377
BaseRepresentation
bin10100101100011100…
…00110001000000000
31001200021211020210220
422112032012020000
5140223203241341
65034242223040
7542215146624
oct122616061000
931607736726
1011110212096
114791474875
1221a0954a80
131080a053c9
1477579d184
154505aea66
hex296386200

11110212096 has 160 divisors (see below), whose sum is σ = 31527714240. Its totient is φ = 3464626176.

The previous prime is 11110212073. The next prime is 11110212097. The reversal of 11110212096 is 69021201111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11110212097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4672860 + ... + 4675236.

It is an arithmetic number, because the mean of its divisors is an integer number (197048214).

Almost surely, 211110212096 is an apocalyptic number.

11110212096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763857120).

11110212096 is an abundant number, since it is smaller than the sum of its proper divisors (20417502144).

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

11110212096 is a wasteful number, since it uses less digits than its factorization.

11110212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 11110212096 in words is "eleven billion, one hundred ten million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 179 192 204 256 272 358 384 408 512 537 544 716 768 816 1074 1088 1432 1536 1632 2148 2176 2377 2864 3043 3264 4296 4352 4754 5728 6086 6528 7131 8592 8704 9129 9508 11456 12172 13056 14262 17184 18258 19016 22912 24344 26112 28524 34368 36516 38032 40409 45824 48688 57048 68736 73032 76064 80818 91648 97376 114096 121227 137472 146064 152128 161636 194752 228192 242454 274944 292128 304256 323272 389504 425483 456384 484908 584256 608512 646544 779008 850966 912768 969816 1168512 1217024 1276449 1293088 1558016 1701932 1825536 1939632 2337024 2552898 2586176 3403864 3651072 3879264 4674048 5105796 5172352 6807728 7233211 7758528 10211592 10344704 13615456 14466422 15517056 20423184 20689408 21699633 27230912 28932844 31034112 40846368 43399266 54461824 57865688 62068224 81692736 86798532 108923648 115731376 163385472 173597064 217847296 231462752 326770944 347194128 462925504 653541888 694388256 925851008 1388776512 1851702016 2777553024 3703404032 5555106048 11110212096