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1230032112 = 24347836569
BaseRepresentation
bin100100101010000…
…1100110011110000
310011201112002211220
41021110030303300
510004342011422
6322015505040
742324046311
oct11124146360
93151462756
101230032112
11581359371
122a3b28180
13167aaac6a
14b950a608
1572ebde5c
hex4950ccf0

1230032112 has 80 divisors (see below), whose sum is σ = 3284789760. Its totient is φ = 396391936.

The previous prime is 1230032099. The next prime is 1230032113. The reversal of 1230032112 is 2112300321.

It is a junction number, because it is equal to n+sod(n) for n = 1230032091 and 1230032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230032113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 183964 + ... + 190532.

It is an arithmetic number, because the mean of its divisors is an integer number (41059872).

Almost surely, 21230032112 is an apocalyptic number.

1230032112 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 1230032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642394880).

1230032112 is an abundant number, since it is smaller than the sum of its proper divisors (2054757648).

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

1230032112 is a wasteful number, since it uses less digits than its factorization.

1230032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1230032112 is about 35071.8136400158. The cubic root of 1230032112 is about 1071.4505937619.

Adding to 1230032112 its reverse (2112300321), we get a palindrome (3342332433).

Subtracting 1230032112 from its reverse (2112300321), we obtain a square (882268209 = 297032).

The spelling of 1230032112 in words is "one billion, two hundred thirty million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1992 2256 3901 3984 6569 7802 11703 13138 15604 19707 23406 26276 31208 39414 46812 52552 62416 78828 93624 105104 157656 187248 308743 315312 545227 617486 926229 1090454 1234972 1635681 1852458 2180908 2469944 3271362 3704916 4361816 4939888 6542724 7409832 8723632 13085448 14819664 25625669 26170896 51251338 76877007 102502676 153754014 205005352 307508028 410010704 615016056 1230032112