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1112030024 = 2371973103139
BaseRepresentation
bin100001001001000…
…0011101101001000
32212111110222102012
41002102003231020
54234134430044
6302202355052
736362046020
oct10222035510
92774428365
101112030024
11520791686
122704bba88
13149503541
14a7990a80
156796059e
hex42483b48

1112030024 has 128 divisors (see below), whose sum is σ = 2585856000. Its totient is φ = 437819904.

The previous prime is 1112029957. The next prime is 1112030039. The reversal of 1112030024 is 4200302111.

It is a super-2 number, since 2×11120300242 = 2473221548554881152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

1112030024 is a modest number, since divided by 30024 gives 1112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1112029990 and 1112030008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8000147 + ... + 8000285.

It is an arithmetic number, because the mean of its divisors is an integer number (20202000).

Almost surely, 21112030024 is an apocalyptic number.

1112030024 is a gapful number since it is divisible by the number (14) 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 1112030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292928000).

1112030024 is an abundant number, since it is smaller than the sum of its proper divisors (1473825976).

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

1112030024 is a wasteful number, since it uses less digits than its factorization.

1112030024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1112030024 is about 33347.1141779915. The cubic root of 1112030024 is about 1036.0296175748.

Adding to 1112030024 its reverse (4200302111), we get a palindrome (5312332135).

The spelling of 1112030024 in words is "one billion, one hundred twelve million, thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 103 133 139 146 152 206 266 278 292 412 511 532 556 584 721 824 973 1022 1064 1112 1387 1442 1946 1957 2044 2641 2774 2884 3892 3914 4088 5282 5548 5768 7519 7784 7828 9709 10147 10564 11096 13699 14317 15038 15656 18487 19418 20294 21128 27398 28634 30076 36974 38836 40588 52633 54796 57268 60152 71029 73948 77672 81176 100219 105266 109592 114536 142058 142861 147896 192793 200438 210532 272023 284116 285722 385586 400876 421064 544046 568232 571444 771172 801752 1000027 1045141 1088092 1142888 1349551 1542344 1904161 2000054 2090282 2176184 2699102 3808322 4000108 4180564 5398204 7315987 7616644 8000216 8361128 10796408 14631974 15233288 19857679 29263948 39715358 58527896 79430716 139003753 158861432 278007506 556015012 1112030024