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1112322420 = 22325113371667
BaseRepresentation
bin100001001001100…
…1011000101110100
32212112000211111200
41002103023011310
54234223304140
6302212532500
736364404336
oct10223130564
92775024450
101112322420
11520971330
12270621130
131495a6661
14a7a29456
15679bc030
hex424cb174

1112322420 has 144 divisors (see below), whose sum is σ = 3693912768. Its totient is φ = 268692480.

The previous prime is 1112322413. The next prime is 1112322433. The reversal of 1112322420 is 242232111.

It is a happy number.

1112322420 is a `hidden beast` number, since 1 + 11 + 232 + 2 + 420 = 666.

It is a super-2 number, since 2×11123224202 = 2474522332069312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112322393 and 1112322402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666427 + ... + 668093.

It is an arithmetic number, because the mean of its divisors is an integer number (25652172).

Almost surely, 21112322420 is an apocalyptic number.

1112322420 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 1112322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846956384).

1112322420 is an abundant number, since it is smaller than the sum of its proper divisors (2581590348).

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

1112322420 is a wasteful number, since it uses less digits than its factorization.

1112322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1112322420 is about 33351.4980173305. The cubic root of 1112322420 is about 1036.1204137951.

Adding to 1112322420 its reverse (242232111), we get a palindrome (1354554531).

The spelling of 1112322420 in words is "one billion, one hundred twelve million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 337 396 495 660 674 990 1011 1348 1667 1685 1980 2022 3033 3334 3370 3707 4044 5001 5055 6066 6668 6740 7414 8335 10002 10110 11121 12132 14828 15003 15165 16670 18337 18535 20004 20220 22242 25005 30006 30330 33340 33363 36674 37070 44484 50010 55011 55605 60012 60660 66726 73348 74140 75015 91685 100020 110022 111210 133452 150030 165033 166815 183370 220044 222420 275055 300060 330066 333630 366740 550110 561779 660132 667260 825165 1100220 1123558 1650330 1685337 2247116 2808895 3300660 3370674 5056011 5617790 6179569 6741348 8426685 10112022 11235580 12359138 16853370 18538707 20224044 24718276 25280055 30897845 33706740 37077414 50560110 55616121 61795690 74154828 92693535 101120220 111232242 123591380 185387070 222464484 278080605 370774140 556161210 1112322420