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1102220112 = 243722112221
BaseRepresentation
bin100000110110010…
…1000101101010000
32211211000120202010
41001230220231100
54224132020422
6301212222520
736212500500
oct10154505520
92754016663
101102220112
115161a1314
1226916aa40
1314747a366
14a6559a00
1566b73b0c
hex41b28b50

1102220112 has 120 divisors (see below), whose sum is σ = 3329480352. Its totient is φ = 313286400.

The previous prime is 1102220107. The next prime is 1102220131. The reversal of 1102220112 is 2110222011.

It is a super-3 number, since 3×11022201123 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495162 + ... + 497382.

Almost surely, 21102220112 is an apocalyptic number.

1102220112 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 1102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664740176).

1102220112 is an abundant number, since it is smaller than the sum of its proper divisors (2227260240).

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

1102220112 is a wasteful number, since it uses less digits than its factorization.

1102220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1102220112 is about 33199.7004805766. The cubic root of 1102220112 is about 1032.9741267834.

Adding to 1102220112 its reverse (2110222011), we get a palindrome (3212442123).

It can be divided in two parts, 110222011 and 2, that multiplied together give a palindrome (220444022).

The spelling of 1102220112 in words is "one billion, one hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 211 294 336 392 422 588 633 784 844 1176 1266 1477 1688 2221 2352 2532 2954 3376 4431 4442 5064 5908 6663 8862 8884 10128 10339 11816 13326 15547 17724 17768 20678 23632 26652 31017 31094 35448 35536 41356 46641 53304 62034 62188 70896 82712 93282 106608 108829 124068 124376 165424 186564 217658 248136 248752 326487 373128 435316 468631 496272 652974 746256 870632 937262 1305948 1405893 1741264 1874524 2611896 2811786 3280417 3749048 5223792 5623572 6560834 7498096 9841251 11247144 13121668 19682502 22494288 22962919 26243336 39365004 45925838 52486672 68888757 78730008 91851676 137777514 157460016 183703352 275555028 367406704 551110056 1102220112