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10112220096 = 2631135913337
BaseRepresentation
bin10010110101011110…
…00011101111000000
3222002201221000011020
421122233003233000
5131202212020341
64351231545440
7505406311146
oct113257035700
928081830136
1010112220096
11431a0a26a0
121b6268b280
13c5201c1b4
146bd015596
153e2b78566
hex25abc3bc0

10112220096 has 112 divisors (see below), whose sum is σ = 29271041280. Its totient is φ = 3055544320.

The previous prime is 10112220067. The next prime is 10112220103. The reversal of 10112220096 is 69002221101.

10112220096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 751540 + ... + 764876.

Almost surely, 210112220096 is an apocalyptic number.

10112220096 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 10112220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635520640).

10112220096 is an abundant number, since it is smaller than the sum of its proper divisors (19158821184).

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

10112220096 is a wasteful number, since it uses less digits than its factorization.

10112220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10112220096 its reverse (69002221101), we get a palindrome (79114441197).

The spelling of 10112220096 in words is "ten billion, one hundred twelve million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 359 528 704 718 1056 1077 1436 2112 2154 2872 3949 4308 5744 7898 8616 11488 11847 13337 15796 17232 22976 23694 26674 31592 34464 40011 47388 53348 63184 68928 80022 94776 106696 126368 146707 160044 189552 213392 252736 293414 320088 379104 426784 440121 586828 640176 758208 853568 880242 1173656 1280352 1760484 2347312 2560704 3520968 4694624 4787983 7041936 9389248 9575966 14083872 14363949 19151932 28167744 28727898 38303864 52667813 57455796 76607728 105335626 114911592 153215456 158003439 210671252 229823184 306430912 316006878 421342504 459646368 632013756 842685008 919292736 1264027512 1685370016 2528055024 3370740032 5056110048 10112220096