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1331113050 = 2325229102001
BaseRepresentation
bin100111101010111…
…0010110001011010
310102202201112211100
41033111302301122
510211231104200
6340030212230
744662163031
oct11725626132
93382645740
101331113050
11623418a33
12311954076
13182a0c777
14c8add718
157bcd8d00
hex4f572c5a

1331113050 has 72 divisors (see below), whose sum is σ = 3699612540. Its totient is φ = 342720000.

The previous prime is 1331113019. The next prime is 1331113051. The reversal of 1331113050 is 503111331.

It can be written as a sum of positive squares in 6 ways, for example, as 175589001 + 1155524049 = 13251^2 + 33993^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1331113051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37951 + ... + 64050.

Almost surely, 21331113050 is an apocalyptic number.

1331113050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331113050 is an abundant number, since it is smaller than the sum of its proper divisors (2368499490).

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

1331113050 is a wasteful number, since it uses less digits than its factorization.

1331113050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102048 (or 102040 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1331113050 is about 36484.4220181710. The cubic root of 1331113050 is about 1100.0311423690.

Adding to 1331113050 its reverse (503111331), we get a palindrome (1834224381).

It can be divided in two parts, 133111 and 3050, that added together give a square (136161 = 3692).

The spelling of 1331113050 in words is "one billion, three hundred thirty-one million, one hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 102001 204002 306003 510005 612006 918009 1020010 1530015 1836018 2550025 2958029 3060030 4590045 5100050 5916058 7650075 8874087 9180090 14790145 15300150 17748174 22950225 26622261 29580290 44370435 45900450 53244522 73950725 88740870 133111305 147901450 221852175 266222610 443704350 665556525 1331113050