Search a number
-
+
1011310020 = 2232572114661
BaseRepresentation
bin111100010001110…
…101110111000100
32121110221212112200
4330101311313010
54032343410040
6244203514500
734026664500
oct7421656704
92543855480
101011310020
11479949206
12242828a30
1313169a0c6
1498453300
155dbb7630
hex3c475dc4

1011310020 has 108 divisors (see below), whose sum is σ = 3568510764. Its totient is φ = 231154560.

The previous prime is 1011310019. The next prime is 1011310043. The reversal of 1011310020 is 200131101.

It can be written as a sum of positive squares in 2 ways, for example, as 384708996 + 626601024 = 19614^2 + 25032^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011309984 and 1011310011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48511 + ... + 66150.

Almost surely, 21011310020 is an apocalyptic number.

1011310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011310020 is an abundant number, since it is smaller than the sum of its proper divisors (2557200744).

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

1011310020 is a wasteful number, since it uses less digits than its factorization.

1011310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114690 (or 114678 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011310020 is about 31801.1009243391. The cubic root of 1011310020 is about 1003.7558823534.

Adding to 1011310020 its reverse (200131101), we get a palindrome (1211441121).

The spelling of 1011310020 in words is "one billion, eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 114661 229322 343983 458644 573305 687966 802627 1031949 1146610 1375932 1605254 1719915 2063898 2293220 2407881 3210508 3439830 4013135 4127796 4815762 5159745 5618389 6879660 7223643 8026270 9631524 10319490 11236778 12039405 14447286 16052540 16855167 20638980 22473556 24078810 28091945 28894572 33710334 36118215 48157620 50565501 56183890 67420668 72236430 84275835 101131002 112367780 144472860 168551670 202262004 252827505 337103340 505655010 1011310020