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1014011020 = 225119914651
BaseRepresentation
bin111100011100001…
…001010010001100
32121200001002121201
4330130021102030
54034041323040
6244341435244
734061644231
oct7434112214
92550032551
101014011020
11480423540
1224370bb24
13132104629
1498957788
155e04ca9a
hex3c70948c

1014011020 has 48 divisors (see below), whose sum is σ = 2325851136. Its totient is φ = 368280000.

The previous prime is 1014011003. The next prime is 1014011029. The reversal of 1014011020 is 201104101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1014010988 and 1014011006.

It is not an unprimeable number, because it can be changed into a prime (1014011029) 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, 215695 + ... + 220345.

It is an arithmetic number, because the mean of its divisors is an integer number (48455232).

Almost surely, 21014011020 is an apocalyptic number.

1014011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014011020 is an abundant number, since it is smaller than the sum of its proper divisors (1311840116).

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

1014011020 is a wasteful number, since it uses less digits than its factorization.

1014011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1014011020 is about 31843.5396901789. The cubic root of 1014011020 is about 1004.6486961375.

Adding to 1014011020 its reverse (201104101), we get a palindrome (1215115121).

The spelling of 1014011020 in words is "one billion, fourteen million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 991 1982 3964 4651 4955 9302 9910 10901 18604 19820 21802 23255 43604 46510 51161 54505 93020 102322 109010 204644 218020 255805 511610 1023220 4609141 9218282 18436564 23045705 46091410 50700551 92182820 101401102 202802204 253502755 507005510 1014011020