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1014302112 = 2534724783
BaseRepresentation
bin111100011101010…
…000010110100000
32121200120212220220
4330131100112200
54034130131422
6244352003040
734064266005
oct7435202640
92550525826
101014302112
1148060220a
12243830480
131321a6c85
14989d18ac
155e0a8e5c
hex3c7505a0

1014302112 has 72 divisors (see below), whose sum is σ = 2720966976. Its totient is φ = 330837888.

The previous prime is 1014302101. The next prime is 1014302119. The reversal of 1014302112 is 2112034101.

It is a junction number, because it is equal to n+sod(n) for n = 1014302091 and 1014302100.

It is not an unprimeable number, because it can be changed into a prime (1014302119) 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 11 ways as a sum of consecutive naturals, for example, 209673 + ... + 214455.

It is an arithmetic number, because the mean of its divisors is an integer number (37791208).

Almost surely, 21014302112 is an apocalyptic number.

1014302112 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 1014302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360483488).

1014302112 is an abundant number, since it is smaller than the sum of its proper divisors (1706664864).

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

1014302112 is an equidigital number, since it uses as much as digits as its factorization.

1014302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1014302112 is about 31848.1100224173. The cubic root of 1014302112 is about 1004.7448217262.

Adding to 1014302112 its reverse (2112034101), we get a palindrome (3126336213).

The spelling of 1014302112 in words is "one billion, fourteen million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2209 2256 4418 4512 4783 6627 8836 9566 13254 14349 17672 19132 26508 28698 35344 38264 53016 57396 70688 76528 106032 114792 153056 212064 224801 229584 449602 459168 674403 899204 1348806 1798408 2697612 3596816 5395224 7193632 10565647 10790448 21131294 21580896 31696941 42262588 63393882 84525176 126787764 169050352 253575528 338100704 507151056 1014302112