Search a number
-
+
1020301120 = 26513032447
BaseRepresentation
bin111100110100001…
…000111101000000
32122002212200000101
4330310020331000
54042144113440
6245124332144
734166262556
oct7464107500
92562780011
101020301120
11483a2a373
12245844054
131334c7697
1499713bd6
155e89169a
hex3cd08f40

1020301120 has 56 divisors (see below), whose sum is σ = 2432450304. Its totient is φ = 407640576.

The previous prime is 1020301097. The next prime is 1020301123. The reversal of 1020301120 is 211030201.

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 = 1020301097 and 1020301106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020301123) 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 7 ways as a sum of consecutive naturals, for example, 415737 + ... + 418183.

Almost surely, 21020301120 is an apocalyptic number.

1020301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020301120 is an abundant number, since it is smaller than the sum of its proper divisors (1412149184).

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

1020301120 is a wasteful number, since it uses less digits than its factorization.

1020301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020301120 is about 31942.1527139296. The cubic root of 1020301120 is about 1006.7217567520.

Adding to 1020301120 its reverse (211030201), we get a palindrome (1231331321).

The spelling of 1020301120 in words is "one billion, twenty million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1303 2447 2606 4894 5212 6515 9788 10424 12235 13030 19576 20848 24470 26060 39152 41696 48940 52120 78304 83392 97880 104240 156608 195760 208480 391520 416960 783040 3188441 6376882 12753764 15942205 25507528 31884410 51015056 63768820 102030112 127537640 204060224 255075280 510150560 1020301120