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1011315020 = 2254110112211
BaseRepresentation
bin111100010001110…
…111000101001100
32121110222010101212
4330101313011030
54032344040040
6244203553552
734030015202
oct7421670514
92543863355
101011315020
11479951a41
1224282b8b8
1313169c471
1498455072
155dbb8d65
hex3c47714c

1011315020 has 48 divisors (see below), whose sum is σ = 2197280736. Its totient is φ = 390720000.

The previous prime is 1011315017. The next prime is 1011315031. The reversal of 1011315020 is 205131101.

1011315020 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 = 1011314986 and 1011315004.

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, 76715 + ... + 88925.

It is an arithmetic number, because the mean of its divisors is an integer number (45776682).

Almost surely, 21011315020 is an apocalyptic number.

1011315020 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 1011315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098640368).

1011315020 is an abundant number, since it is smaller than the sum of its proper divisors (1185965716).

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

1011315020 is a wasteful number, since it uses less digits than its factorization.

1011315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1011315020 is about 31801.1795378725. The cubic root of 1011315020 is about 1003.7575365680.

Adding to 1011315020 its reverse (205131101), we get a palindrome (1216446121).

The spelling of 1011315020 in words is "one billion, eleven million, three hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 12211 16564 20705 24422 41410 48844 61055 82820 122110 244220 500651 1001302 1233311 2002604 2466622 2503255 4933244 5006510 6166555 10013020 12333110 24666220 50565751 101131502 202263004 252828755 505657510 1011315020