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112210111220 = 225296119316433
BaseRepresentation
bin110100010000000111…
…1100110101011110100
3101201122010010021000012
41220200033212223310
53314301242024340
6123314300035352
711051446131254
oct1504017465364
9351563107005
10112210111220
1143651756409
12198b6b32b58
13a77335b91c
145606933964
152dbb160565
hex1a203e6af4

112210111220 has 96 divisors (see below), whose sum is σ = 249061871520. Its totient is φ = 42402447360.

The previous prime is 112210111219. The next prime is 112210111229. The reversal of 112210111220 is 22111012211.

It can be written as a sum of positive squares in 16 ways, for example, as 30736401124 + 81473710096 = 175318^2 + 285436^2 .

It is a super-2 number, since 2×1122101112202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210111195 and 112210111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210111229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6820124 + ... + 6836556.

It is an arithmetic number, because the mean of its divisors is an integer number (2594394495).

Almost surely, 2112210111220 is an apocalyptic number.

112210111220 is a gapful number since it is divisible by the number (10) 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 112210111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124530935760).

112210111220 is an abundant number, since it is smaller than the sum of its proper divisors (136851760300).

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

112210111220 is a wasteful number, since it uses less digits than its factorization.

112210111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16725 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112210111220 its reverse (22111012211), we get a palindrome (134321123431).

Subtracting from 112210111220 its reverse (22111012211), we obtain a palindrome (90099099009).

The spelling of 112210111220 in words is "one hundred twelve billion, two hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 193 244 290 305 386 580 610 772 965 1220 1769 1930 3538 3860 5597 7076 8845 11194 11773 16433 17690 22388 23546 27985 32866 35380 47092 55970 58865 65732 82165 111940 117730 164330 235460 328660 341417 476557 682834 953114 1002413 1365668 1707085 1906228 2004826 2382785 3171569 3414170 4009652 4765570 5012065 6343138 6828340 9531140 10024130 12686276 15857845 20048260 29069977 31715690 58139954 63431380 91975501 116279908 145349885 183951002 193465709 290699770 367902004 386931418 459877505 581399540 773862836 919755010 967328545 1839510020 1934657090 3869314180 5610505561 11221011122 22442022244 28052527805 56105055610 112210111220