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1014242020 = 2251119323887
BaseRepresentation
bin111100011101000…
…001101011100100
32121200110211111021
4330131001223210
54034121221040
6244350420524
734063625551
oct7435015344
92550424437
101014242020
11480571050
12243801744
1313218580c
14989b7a28
155e09624a
hex3c741ae4

1014242020 has 48 divisors (see below), whose sum is σ = 2335673088. Its totient is φ = 366888960.

The previous prime is 1014242011. The next prime is 1014242069. The reversal of 1014242020 is 202424101.

1014242020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1014241985 and 1014242003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30517 + ... + 54403.

It is an arithmetic number, because the mean of its divisors is an integer number (48659856).

Almost surely, 21014242020 is an apocalyptic number.

1014242020 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 1014242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167836544).

1014242020 is an abundant number, since it is smaller than the sum of its proper divisors (1321431068).

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

1014242020 is a wasteful number, since it uses less digits than its factorization.

1014242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24100 (or 24098 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1014242020 is about 31847.1665929640. The cubic root of 1014242020 is about 1004.7249794072.

Adding to 1014242020 its reverse (202424101), we get a palindrome (1216666121).

The spelling of 1014242020 in words is "one billion, fourteen million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 23887 42460 47774 95548 119435 238870 262757 477740 525514 1051028 1313785 2627570 4610191 5255140 9220382 18440764 23050955 46101910 50712101 92203820 101424202 202848404 253560505 507121010 1014242020