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11221010112 = 263134795651
BaseRepresentation
bin10100111001101001…
…10000011011000000
31001222000022101010010
422130310300123000
5140440034310422
65053241104520
7545032004124
oct123464603300
931860271103
1011221010112
114838a70a84
122211a88140
13109a959a70
147863a1584
1545a198b0c
hex29cd306c0

11221010112 has 112 divisors (see below), whose sum is σ = 32653297152. Its totient is φ = 3379123200.

The previous prime is 11221010081. The next prime is 11221010147. The reversal of 11221010112 is 21101012211.

It is a super-2 number, since 2×112210101122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69487 + ... + 165137.

It is an arithmetic number, because the mean of its divisors is an integer number (291547296).

Almost surely, 211221010112 is an apocalyptic number.

11221010112 is a gapful number since it is divisible by the number (12) 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 11221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326648576).

11221010112 is an abundant number, since it is smaller than the sum of its proper divisors (21432287040).

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

11221010112 is a wasteful number, since it uses less digits than its factorization.

11221010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95726 (or 95716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221010112 its reverse (21101012211), we get a palindrome (32322022323).

The spelling of 11221010112 in words is "eleven billion, two hundred twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 564 611 624 752 832 1128 1222 1248 1504 1833 2256 2444 2496 3008 3666 4512 4888 7332 9024 9776 14664 19552 29328 39104 58656 95651 117312 191302 286953 382604 573906 765208 1147812 1243463 1530416 2295624 2486926 3060832 3730389 4495597 4591248 4973852 6121664 7460778 8991194 9182496 9947704 13486791 14921556 17982388 18364992 19895408 26973582 29843112 35964776 39790816 53947164 58442761 59686224 71929552 79581632 107894328 116885522 119372448 143859104 175328283 215788656 233771044 238744896 287718208 350656566 431577312 467542088 701313132 863154624 935084176 1402626264 1870168352 2805252528 3740336704 5610505056 11221010112