Search a number
-
+
1013110320 = 243537114089
BaseRepresentation
bin111100011000101…
…101011000110000
32121121100100002110
4330120231120300
54033324012240
6244310245320
734051203255
oct7430553060
92547310073
101013110320
1147a968862
12243356840
13131b7a681
14987a142c
155de20c80
hex3c62d630

1013110320 has 80 divisors (see below), whose sum is σ = 3225552480. Its totient is φ = 262858752.

The previous prime is 1013110313. The next prime is 1013110327. The reversal of 1013110320 is 230113101.

It is an interprime number because it is at equal distance from previous prime (1013110313) and next prime (1013110327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013110296 and 1013110305.

It is not an unprimeable number, because it can be changed into a prime (1013110327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48165 + ... + 65924.

It is an arithmetic number, because the mean of its divisors is an integer number (40319406).

Almost surely, 21013110320 is an apocalyptic number.

1013110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013110320 is an abundant number, since it is smaller than the sum of its proper divisors (2212442160).

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

1013110320 is a wasteful number, since it uses less digits than its factorization.

1013110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114142 (or 114136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1013110320 is about 31829.3939621853. The cubic root of 1013110320 is about 1004.3511467295.

Adding to 1013110320 its reverse (230113101), we get a palindrome (1243223421).

The spelling of 1013110320 in words is "one billion, thirteen million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 114089 228178 342267 456356 570445 684534 912712 1140890 1369068 1711335 1825424 2281780 2738136 3422670 4221293 4563560 5476272 6845340 8442586 9127120 12663879 13690680 16885172 21106465 25327758 27381360 33770344 42212930 50655516 63319395 67540688 84425860 101311032 126638790 168851720 202622064 253277580 337703440 506555160 1013110320