Search a number
-
+
1013111040 = 28351931367
BaseRepresentation
bin111100011000101…
…101100100000000
32121121100101002010
4330120231210000
54033324023130
6244310252520
734051205334
oct7430554400
92547311063
101013111040
1147a969357
12243357140
13131b7aab6
14987a17c4
155de210b0
hex3c62d900

1013111040 has 144 divisors (see below), whose sum is σ = 3254767488. Its totient is φ = 268566528.

The previous prime is 1013110993. The next prime is 1013111041. The reversal of 1013111040 is 401113101.

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

It is not an unprimeable number, because it can be changed into a prime (1013111041) 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, 740437 + ... + 741803.

It is an arithmetic number, because the mean of its divisors is an integer number (22602552).

Almost surely, 21013111040 is an apocalyptic number.

1013111040 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 1013111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627383744).

1013111040 is an abundant number, since it is smaller than the sum of its proper divisors (2241656448).

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

1013111040 is a wasteful number, since it uses less digits than its factorization.

1013111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

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

The square root of 1013111040 is about 31829.4052724835. The cubic root of 1013111040 is about 1004.3513846544.

Adding to 1013111040 its reverse (401113101), we get a palindrome (1414224141).

The spelling of 1013111040 in words is "one billion, thirteen million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 579 640 768 772 960 965 1158 1280 1367 1544 1920 1930 2316 2734 2895 3088 3840 3860 4101 4632 5468 5790 6176 6835 7720 8202 9264 10936 11580 12352 13670 15440 16404 18528 20505 21872 23160 24704 27340 30880 32808 37056 41010 43744 46320 49408 54680 61760 65616 74112 82020 87488 92640 109360 123520 131232 148224 164040 174976 185280 218720 247040 262464 263831 328080 349952 370560 437440 524928 527662 656160 741120 791493 874880 1049856 1055324 1312320 1319155 1582986 1749760 2110648 2624640 2638310 3165972 3957465 4221296 5249280 5276620 6331944 7914930 8442592 10553240 12663888 15829860 16885184 21106480 25327776 31659720 33770368 42212960 50655552 63319440 67540736 84425920 101311104 126638880 168851840 202622208 253277760 337703680 506555520 1013111040