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1013131120 = 24567189017
BaseRepresentation
bin111100011000110…
…010011101110000
32121121101101121211
4330120302131300
54033330143440
6244310525504
734051321021
oct7430623560
92547341554
101013131120
1147a982451
12243366894
13131b86c91
14987a8c48
155de26eea
hex3c632770

1013131120 has 40 divisors (see below), whose sum is σ = 2390699664. Its totient is φ = 399201792.

The previous prime is 1013131103. The next prime is 1013131123. The reversal of 1013131120 is 211313101.

1013131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1013131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013131123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89149 + ... + 99868.

Almost surely, 21013131120 is an apocalyptic number.

1013131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013131120 is an abundant number, since it is smaller than the sum of its proper divisors (1377568544).

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

1013131120 is a wasteful number, since it uses less digits than its factorization.

1013131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189097 (or 189091 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1013131120 is about 31829.7207025132. The cubic root of 1013131120 is about 1004.3580200714.

Adding to 1013131120 its reverse (211313101), we get a palindrome (1224444221).

The spelling of 1013131120 in words is "one billion, thirteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 189017 378034 756068 945085 1512136 1890170 3024272 3780340 7560680 12664139 15121360 25328278 50656556 63320695 101313112 126641390 202626224 253282780 506565560 1013131120